...1. Resolve the numbers into their prime factors, and take the product of these factors, using each the greatest number of times it occurs in any of the given numbers. 2. Place the given numbers in a horizontal line, divide by any prime number that is a factor...

...number into its prime factors, and the continued products of all the different prime factors, each taken the greatest number of times it occurs in any of the given numbers, will be the least common multiple. 59. What is the least common multiple of 12, 16, 20, and...

...equals 5544. To find the LCM of two or more numbers, resolve the numbers into their prime factors, and find the product of all the different factors, taking...factor the greatest number of times it occurs in any number. If the numbers are prime to each other, their product is their LCM The following arrangement...

...Resolve each expression into its simplest factors. Find the product of all the different factors, talcing each factor the greatest number of times it occurs...any of the given expressions. Exercise 41. Find the L. 0. M. of 1. 24, 32, and 60. 2. 24 aV, 60 aV, and 32 oV. 3. x* — Zxy + y' and a;2 — y2. 4. a;2-4a:...

...contain all the different prime factors of those quantities. It must, moreover, contain each prime factor the greatest number of times it occurs in any of the quantities, for the same reason. It need, however, contain no other prime factors than these to contain...

...+ a;-12) = 2X20-3)0 .-. LCM = 2X2X3 X 0-3)0+ 4)0Hence, to find the LCM of two or more expressions : Resolve each expression into its simplest factors....the greatest number of times it occurs in any of the Exercise 41. Find the L. О. М. of 1. 24, 32, and 60. 2. 24 a V, 60 aV, and 32 a V. 3. .г2 — 2a;y...

...4(a;-3)(a; = 6(a;-3)(a;-5). .-. theH.CF =2(ж-3) = 2*-6. Hence, to find the HCF of two or more expressions : Resolve each expression into its simplest factors. Find the product of all the common factors, taMng each factor the least number of times it occurs in any of the given expressions....

...4) ; 2X3(ж-3)(ж — 5); .-. LCM =2X2X3 XО-3) Hence, to find the LCM of two or more expressions : Resolve each expression into its simplest factors. Find the product of all the di.ferent factors, taking each factor the greatest number of times it occurs in any of the given expressions....

...least common multiple of two or more numbers : Resolve each number into its prime factors. ' Select the different factors, taking each factor the greatest number of times it is found in any of the given numbers ; and the product of the factors thus selected will be the least...

...number into its prime factors, and the continued products of all the different prime factors, each taken the greatest number of times it occurs in any of the given numbers, will be the least common multiple. 59. What is the least common multiple of 12, 16, 20, and...