To find the LCM (Least Common Multiple) of two numbers when their GCD (Greatest Common Divisor) and ratio is given, you can use the following formula:

Product of numbers = GCD * LCM

Step 1: First, find the actual numbers. Since the ratio of the numbers is 7:5 and their GCD is 17, the numbers are 7*17 and 5*17, which are 119 and 85.

Step 2: Then, find the product of these two numbers. 119 * 85 = 10115.

Step 3: Now, divide the product of the numbers by their GCD to find the LCM. So, 10115 / 17 = 595.

So, the LCM of the two numbers is 595.

Question

To find the LCM (Least Common Multiple) of two numbers when their GCD (Greatest Common Divisor) and ratio is given, you can use the following formula:

Product of numbers = GCD * LCM

Step 1: First, find the actual numbers. Since the ratio of the numbers is 7:5 and their GCD is 17, the numbers are 7*17 and 5*17, which are 119 and 85.

Step 2: Then, find the product of these two numbers. 119 * 85 = 10115.

Step 3: Now, divide the product of the numbers by their GCD to find the LCM. So, 10115 / 17 = 595.

So, the LCM of the two numbers is 595.

Knowee AI · Accepted Answer

To find the LCM (Least Common Multiple) of two numbers when their GCD (Greatest Common Divisor) and ratio is given, you can use the following formula:

Product of numbers = GCD * LCM

Step 1: First, find the actual numbers. Since the ratio of the numbers is 7:5 and their GCD is 17, the numbers are 7*17 and 5*17, which are 119 and 85.

Step 2: Then, find the product of these two numbers. 119 * 85 = 10115.

Step 3: Now, divide the product of the numbers by their GCD to find the LCM. So, 10115 / 17 = 595.

So, the LCM of the two numbers is 595.

the G.D.C. of two numbers is 17 and the ratio of the numbers is 7:5. what is their L.C.M

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