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LCM of 652, 715, 591, 656, 316

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


Find the LCM of 652, 715, 591, 656, 316 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 652, 715, 591, 656, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 652,715,591,656,316

Given numbers are 652,715,591,656,316

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

The LCM of 652,715,591,656,316 is 3569538395280.

Find LCM of 652,715,591,656,316 with Prime Factorization


2 652, 715, 591, 656, 316
2 326, 715, 591, 328, 158
163, 715, 591, 164, 79

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

2 x 2 x 163 x 715 x 591 x 164 x 79 = 3569538395280

Therefore, the lowest common multiple of 652,715,591,656,316 is 3569538395280.

LCM Formula to Find Lowest Common Multiple of 652,715,591,656,316

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.

652 x 715 x 591 x 656 x 316 = 57112614324480

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.

652 : 1, 2, 4, 163, 326, 652

715 : 1, 5, 11, 13, 55, 65, 143, 715

591 : 1, 3, 197, 591

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

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,715,591,656,316, is 1.

Now, the common factors can be found like this.

652:2x 2x 163

715:5x 11x 13

591:3x 197

656:2x 2x 2x 2x 41

316:2x 2x 79

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 57112614324480/(1x16)

LCM = 57112614324480/16

LCM = 3569538395280

Thus, we can understand that the LCM of 652,715,591,656,316 is 3569538395280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 652, 715, 591, 656, 316

1. What is the LCM of 652, 715, 591, 656, 316?

Answer: LCM of 652, 715, 591, 656, 316 is 3569538395280.

2. How to calculate the LCM of 652, 715, 591, 656, 316?

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 652, 715, 591, 656, 316.

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}.