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LCM of 379, 314, 696, 906

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


Find the LCM of 379, 314, 696, 906 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 379, 314, 696, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,314,696,906

Given numbers are 379,314,696,906

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

The LCM of 379,314,696,906 is 6253527288.

Find LCM of 379,314,696,906 with Prime Factorization


2 379, 314, 696, 906
3 379, 157, 348, 453
379, 157, 116, 151

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

2 x 3 x 379 x 157 x 116 x 151 = 6253527288

Therefore, the lowest common multiple of 379,314,696,906 is 6253527288.

LCM Formula to Find Lowest Common Multiple of 379,314,696,906

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.

379 x 314 x 696 x 906 = 75042327456

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.

379 : 1, 379

314 : 1, 2, 157, 314

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,314,696,906, is 1.

Now, the common factors can be found like this.

379:379

314:2x 157

696:2x 2x 2x 3x 29

906:2x 3x 151

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 3 = 12

Therefore, the value for common factors is 12.

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 = 75042327456/(1x12)

LCM = 75042327456/12

LCM = 6253527288

Thus, we can understand that the LCM of 379,314,696,906 is 6253527288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 314, 696, 906

1. What is the LCM of 379, 314, 696, 906?

Answer: LCM of 379, 314, 696, 906 is 6253527288.

2. How to calculate the LCM of 379, 314, 696, 906?

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 379, 314, 696, 906.

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}.