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LCM of 971, 793, 398, 507

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


Find the LCM of 971, 793, 398, 507 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 971, 793, 398, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 971,793,398,507

Given numbers are 971,793,398,507

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

The LCM of 971,793,398,507 is 11951986566.

Find LCM of 971,793,398,507 with Prime Factorization


13 971, 793, 398, 507
971, 61, 398, 39

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

13 x 971 x 61 x 398 x 39 = 11951986566

Therefore, the lowest common multiple of 971,793,398,507 is 11951986566.

LCM Formula to Find Lowest Common Multiple of 971,793,398,507

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.

971 x 793 x 398 x 507 = 155375825358

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.

971 : 1, 971

793 : 1, 13, 61, 793

398 : 1, 2, 199, 398

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,793,398,507, is 1.

Now, the common factors can be found like this.

971:971

793:13x 61

398:2x 199

507:3x 13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 155375825358/(1x13)

LCM = 155375825358/13

LCM = 11951986566

Thus, we can understand that the LCM of 971,793,398,507 is 11951986566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 971, 793, 398, 507

1. What is the LCM of 971, 793, 398, 507?

Answer: LCM of 971, 793, 398, 507 is 11951986566.

2. How to calculate the LCM of 971, 793, 398, 507?

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 971, 793, 398, 507.

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}.