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LCM of 783, 851, 220, 971, 517

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


Find the LCM of 783, 851, 220, 971, 517 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 783, 851, 220, 971, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 783,851,220,971,517

Given numbers are 783,851,220,971,517

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

The LCM of 783,851,220,971,517 is 6690076606620.

Find LCM of 783,851,220,971,517 with Prime Factorization


11 783, 851, 220, 971, 517
783, 851, 20, 971, 47

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

11 x 783 x 851 x 20 x 971 x 47 = 6690076606620

Therefore, the lowest common multiple of 783,851,220,971,517 is 6690076606620.

LCM Formula to Find Lowest Common Multiple of 783,851,220,971,517

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.

783 x 851 x 220 x 971 x 517 = 73590842672820

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

851 : 1, 23, 37, 851

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

971 : 1, 971

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,851,220,971,517, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

851:23x 37

220:2x 2x 5x 11

971:971

517:11x 47

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

11 = 11

Therefore, the value for common factors is 11.

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 = 73590842672820/(1x11)

LCM = 73590842672820/11

LCM = 6690076606620

Thus, we can understand that the LCM of 783,851,220,971,517 is 6690076606620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 783, 851, 220, 971, 517

1. What is the LCM of 783, 851, 220, 971, 517?

Answer: LCM of 783, 851, 220, 971, 517 is 6690076606620.

2. How to calculate the LCM of 783, 851, 220, 971, 517?

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 783, 851, 220, 971, 517.

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}.