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LCM of 517, 506, 478, 703, 980

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 517, 506, 478, 703, 980 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 517, 506, 478, 703, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 517,506,478,703,980

Given numbers are 517,506,478,703,980

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 517,506,478,703,980 is 1957932344060.

Find LCM of 517,506,478,703,980 with Prime Factorization


2 517, 506, 478, 703, 980
11 517, 253, 239, 703, 490
47, 23, 239, 703, 490

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 47 x 23 x 239 x 703 x 490 = 1957932344060

Therefore, the lowest common multiple of 517,506,478,703,980 is 1957932344060.

LCM Formula to Find Lowest Common Multiple of 517,506,478,703,980

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

517 x 506 x 478 x 703 x 980 = 86149023138640

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

517 : 1, 11, 47, 517

506 : 1, 2, 11, 22, 23, 46, 253, 506

478 : 1, 2, 239, 478

703 : 1, 19, 37, 703

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,506,478,703,980, is 1.

Now, the common factors can be found like this.

517:11x 47

506:2x 11x 23

478:2x 239

703:19x 37

980:2x 2x 5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 11 = 44

Therefore, the value for common factors is 44.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 86149023138640/(1x44)

LCM = 86149023138640/44

LCM = 1957932344060

Thus, we can understand that the LCM of 517,506,478,703,980 is 1957932344060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 517, 506, 478, 703, 980

1. What is the LCM of 517, 506, 478, 703, 980?

Answer: LCM of 517, 506, 478, 703, 980 is 1957932344060.

2. How to calculate the LCM of 517, 506, 478, 703, 980?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 517, 506, 478, 703, 980.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.