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LCM of 642, 574, 766, 131

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


Find the LCM of 642, 574, 766, 131 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 642, 574, 766, 131. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,574,766,131

Given numbers are 642,574,766,131

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

The LCM of 642,574,766,131 is 9244575942.

Find LCM of 642,574,766,131 with Prime Factorization


2 642, 574, 766, 131
321, 287, 383, 131

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

2 x 321 x 287 x 383 x 131 = 9244575942

Therefore, the lowest common multiple of 642,574,766,131 is 9244575942.

LCM Formula to Find Lowest Common Multiple of 642,574,766,131

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.

642 x 574 x 766 x 131 = 36978303768

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

574 : 1, 2, 7, 14, 41, 82, 287, 574

766 : 1, 2, 383, 766

131 : 1, 131

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,574,766,131, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

574:2x 7x 41

766:2x 383

131:131

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 = 36978303768/(1x4)

LCM = 36978303768/4

LCM = 9244575942

Thus, we can understand that the LCM of 642,574,766,131 is 9244575942.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 574, 766, 131

1. What is the LCM of 642, 574, 766, 131?

Answer: LCM of 642, 574, 766, 131 is 9244575942.

2. How to calculate the LCM of 642, 574, 766, 131?

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 642, 574, 766, 131.

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}.