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LCM of 726, 869, 518, 352

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


Find the LCM of 726, 869, 518, 352 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 726, 869, 518, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,869,518,352

Given numbers are 726,869,518,352

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

The LCM of 726,869,518,352 is 237674976.

Find LCM of 726,869,518,352 with Prime Factorization


2 726, 869, 518, 352
11 363, 869, 259, 176
33, 79, 259, 16

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

2 x 11 x 33 x 79 x 259 x 16 = 237674976

Therefore, the lowest common multiple of 726,869,518,352 is 237674976.

LCM Formula to Find Lowest Common Multiple of 726,869,518,352

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.

726 x 869 x 518 x 352 = 115034688384

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

869 : 1, 11, 79, 869

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,869,518,352, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

869:11x 79

518:2x 7x 37

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

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 115034688384/(1x484)

LCM = 115034688384/484

LCM = 237674976

Thus, we can understand that the LCM of 726,869,518,352 is 237674976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 869, 518, 352

1. What is the LCM of 726, 869, 518, 352?

Answer: LCM of 726, 869, 518, 352 is 237674976.

2. How to calculate the LCM of 726, 869, 518, 352?

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 726, 869, 518, 352.

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}.