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LCM of 200, 922, 851, 658

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


Find the LCM of 200, 922, 851, 658 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 200, 922, 851, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 200,922,851,658

Given numbers are 200,922,851,658

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

The LCM of 200,922,851,658 is 25814063800.

Find LCM of 200,922,851,658 with Prime Factorization


2 200, 922, 851, 658
100, 461, 851, 329

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

2 x 100 x 461 x 851 x 329 = 25814063800

Therefore, the lowest common multiple of 200,922,851,658 is 25814063800.

LCM Formula to Find Lowest Common Multiple of 200,922,851,658

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.

200 x 922 x 851 x 658 = 103256255200

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.

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

922 : 1, 2, 461, 922

851 : 1, 23, 37, 851

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 200,922,851,658, is 1.

Now, the common factors can be found like this.

200:2x 2x 2x 5x 5

922:2x 461

851:23x 37

658:2x 7x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 103256255200/(1x4)

LCM = 103256255200/4

LCM = 25814063800

Thus, we can understand that the LCM of 200,922,851,658 is 25814063800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 200, 922, 851, 658

1. What is the LCM of 200, 922, 851, 658?

Answer: LCM of 200, 922, 851, 658 is 25814063800.

2. How to calculate the LCM of 200, 922, 851, 658?

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 200, 922, 851, 658.

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}.