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LCM of 656, 461, 611, 507

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


Find the LCM of 656, 461, 611, 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 656, 461, 611, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,461,611,507

Given numbers are 656,461,611,507

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

The LCM of 656,461,611,507 is 7206270864.

Find LCM of 656,461,611,507 with Prime Factorization


13 656, 461, 611, 507
656, 461, 47, 39

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

13 x 656 x 461 x 47 x 39 = 7206270864

Therefore, the lowest common multiple of 656,461,611,507 is 7206270864.

LCM Formula to Find Lowest Common Multiple of 656,461,611,507

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.

656 x 461 x 611 x 507 = 93681521232

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

461 : 1, 461

611 : 1, 13, 47, 611

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 656,461,611,507, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

461:461

611:13x 47

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 = 93681521232/(1x13)

LCM = 93681521232/13

LCM = 7206270864

Thus, we can understand that the LCM of 656,461,611,507 is 7206270864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 461, 611, 507

1. What is the LCM of 656, 461, 611, 507?

Answer: LCM of 656, 461, 611, 507 is 7206270864.

2. How to calculate the LCM of 656, 461, 611, 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 656, 461, 611, 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}.