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LCM of 856, 132, 436, 426

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


Find the LCM of 856, 132, 436, 426 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, 132, 436, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,132,436,426

Given numbers are 856,132,436,426

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

The LCM of 856,132,436,426 is 218611272.

Find LCM of 856,132,436,426 with Prime Factorization


2 856, 132, 436, 426
2 428, 66, 218, 213
3 214, 33, 109, 213
214, 11, 109, 71

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

2 x 2 x 3 x 214 x 11 x 109 x 71 = 218611272

Therefore, the lowest common multiple of 856,132,436,426 is 218611272.

LCM Formula to Find Lowest Common Multiple of 856,132,436,426

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 132 x 436 x 426 = 20986682112

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

436 : 1, 2, 4, 109, 218, 436

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,132,436,426, is 2.

Now, the common factors can be found like this.

856:2x 2x 2x 107

132:2x 2x 3x 11

436:2x 2x 109

426:2x 3x 71

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 3 = 48

Therefore, the value for common factors is 48.

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 = 20986682112/(2x48)

LCM = 20986682112/96

LCM = 218611272

Thus, we can understand that the LCM of 856,132,436,426 is 218611272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 132, 436, 426

1. What is the LCM of 856, 132, 436, 426?

Answer: LCM of 856, 132, 436, 426 is 218611272.

2. How to calculate the LCM of 856, 132, 436, 426?

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, 132, 436, 426.

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}.