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LCM of 252, 944, 814, 377

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


Find the LCM of 252, 944, 814, 377 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 252, 944, 814, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,944,814,377

Given numbers are 252,944,814,377

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

The LCM of 252,944,814,377 is 9125324208.

Find LCM of 252,944,814,377 with Prime Factorization


2 252, 944, 814, 377
2 126, 472, 407, 377
63, 236, 407, 377

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

2 x 2 x 63 x 236 x 407 x 377 = 9125324208

Therefore, the lowest common multiple of 252,944,814,377 is 9125324208.

LCM Formula to Find Lowest Common Multiple of 252,944,814,377

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.

252 x 944 x 814 x 377 = 73002593664

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

814 : 1, 2, 11, 22, 37, 74, 407, 814

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,944,814,377, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

944:2x 2x 2x 2x 59

814:2x 11x 37

377:13x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 73002593664/(1x8)

LCM = 73002593664/8

LCM = 9125324208

Thus, we can understand that the LCM of 252,944,814,377 is 9125324208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 944, 814, 377

1. What is the LCM of 252, 944, 814, 377?

Answer: LCM of 252, 944, 814, 377 is 9125324208.

2. How to calculate the LCM of 252, 944, 814, 377?

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 252, 944, 814, 377.

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}.