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LCM of 709, 341, 352, 715

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


Find the LCM of 709, 341, 352, 715 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 709, 341, 352, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,341,352,715

Given numbers are 709,341,352,715

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

The LCM of 709,341,352,715 is 502879520.

Find LCM of 709,341,352,715 with Prime Factorization


11 709, 341, 352, 715
709, 31, 32, 65

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

11 x 709 x 31 x 32 x 65 = 502879520

Therefore, the lowest common multiple of 709,341,352,715 is 502879520.

LCM Formula to Find Lowest Common Multiple of 709,341,352,715

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.

709 x 341 x 352 x 715 = 60848421920

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.

709 : 1, 709

341 : 1, 11, 31, 341

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,341,352,715, is 1.

Now, the common factors can be found like this.

709:709

341:11x 31

352:2x 2x 2x 2x 2x 11

715:5x 11x 13

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 60848421920/(1x121)

LCM = 60848421920/121

LCM = 502879520

Thus, we can understand that the LCM of 709,341,352,715 is 502879520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 341, 352, 715

1. What is the LCM of 709, 341, 352, 715?

Answer: LCM of 709, 341, 352, 715 is 502879520.

2. How to calculate the LCM of 709, 341, 352, 715?

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 709, 341, 352, 715.

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}.