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LCM of 856, 922, 531, 564, 892

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


Find the LCM of 856, 922, 531, 564, 892 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, 922, 531, 564, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,922,531,564,892

Given numbers are 856,922,531,564,892

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

The LCM of 856,922,531,564,892 is 2196200227176.

Find LCM of 856,922,531,564,892 with Prime Factorization


2 856, 922, 531, 564, 892
2 428, 461, 531, 282, 446
3 214, 461, 531, 141, 223
214, 461, 177, 47, 223

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

2 x 2 x 3 x 214 x 461 x 177 x 47 x 223 = 2196200227176

Therefore, the lowest common multiple of 856,922,531,564,892 is 2196200227176.

LCM Formula to Find Lowest Common Multiple of 856,922,531,564,892

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 922 x 531 x 564 x 892 = 210835221808896

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

922 : 1, 2, 461, 922

531 : 1, 3, 9, 59, 177, 531

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,922,531,564,892, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

922:2x 461

531:3x 3x 59

564:2x 2x 3x 47

892:2x 2x 223

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 3 = 96

Therefore, the value for common factors is 96.

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 = 210835221808896/(1x96)

LCM = 210835221808896/96

LCM = 2196200227176

Thus, we can understand that the LCM of 856,922,531,564,892 is 2196200227176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 922, 531, 564, 892

1. What is the LCM of 856, 922, 531, 564, 892?

Answer: LCM of 856, 922, 531, 564, 892 is 2196200227176.

2. How to calculate the LCM of 856, 922, 531, 564, 892?

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, 922, 531, 564, 892.

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}.