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LCM of 836, 714, 726, 205, 652

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


Find the LCM of 836, 714, 726, 205, 652 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 836, 714, 726, 205, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,714,726,205,652

Given numbers are 836,714,726,205,652

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

The LCM of 836,714,726,205,652 is 109700509380.

Find LCM of 836,714,726,205,652 with Prime Factorization


2 836, 714, 726, 205, 652
2 418, 357, 363, 205, 326
3 209, 357, 363, 205, 163
11 209, 119, 121, 205, 163
19, 119, 11, 205, 163

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

2 x 2 x 3 x 11 x 19 x 119 x 11 x 205 x 163 = 109700509380

Therefore, the lowest common multiple of 836,714,726,205,652 is 109700509380.

LCM Formula to Find Lowest Common Multiple of 836,714,726,205,652

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.

836 x 714 x 726 x 205 x 652 = 57921868952640

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

205 : 1, 5, 41, 205

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,714,726,205,652, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

714:2x 3x 7x 17

726:2x 3x 11x 11

205:5x 41

652:2x 2x 163

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 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 57921868952640/(1x528)

LCM = 57921868952640/528

LCM = 109700509380

Thus, we can understand that the LCM of 836,714,726,205,652 is 109700509380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 714, 726, 205, 652

1. What is the LCM of 836, 714, 726, 205, 652?

Answer: LCM of 836, 714, 726, 205, 652 is 109700509380.

2. How to calculate the LCM of 836, 714, 726, 205, 652?

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 836, 714, 726, 205, 652.

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}.