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LCM of 856, 726, 421, 714, 528

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


Find the LCM of 856, 726, 421, 714, 528 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 856, 726, 421, 714, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,726,421,714,528

Given numbers are 856,726,421,714,528

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

The LCM of 856,726,421,714,528 is 31134324144.

Find LCM of 856,726,421,714,528 with Prime Factorization


2 856, 726, 421, 714, 528
2 428, 363, 421, 357, 264
2 214, 363, 421, 357, 132
3 107, 363, 421, 357, 66
11 107, 121, 421, 119, 22
107, 11, 421, 119, 2

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

2 x 2 x 2 x 3 x 11 x 107 x 11 x 421 x 119 x 2 = 31134324144

Therefore, the lowest common multiple of 856,726,421,714,528 is 31134324144.

LCM Formula to Find Lowest Common Multiple of 856,726,421,714,528

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.

856 x 726 x 421 x 714 x 528 = 98633538888192

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

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

421 : 1, 421

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,726,421,714,528, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

726:2x 3x 11x 11

421:421

714:2x 3x 7x 17

528:2x 2x 2x 2x 3x 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 2x 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 98633538888192/(1x3168)

LCM = 98633538888192/3168

LCM = 31134324144

Thus, we can understand that the LCM of 856,726,421,714,528 is 31134324144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 726, 421, 714, 528

1. What is the LCM of 856, 726, 421, 714, 528?

Answer: LCM of 856, 726, 421, 714, 528 is 31134324144.

2. How to calculate the LCM of 856, 726, 421, 714, 528?

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 856, 726, 421, 714, 528.

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}.