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LCM of 379, 782, 902, 124

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


Find the LCM of 379, 782, 902, 124 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, 782, 902, 124. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,782,902,124

Given numbers are 379,782,902,124

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

The LCM of 379,782,902,124 is 8287321636.

Find LCM of 379,782,902,124 with Prime Factorization


2 379, 782, 902, 124
379, 391, 451, 62

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

2 x 379 x 391 x 451 x 62 = 8287321636

Therefore, the lowest common multiple of 379,782,902,124 is 8287321636.

LCM Formula to Find Lowest Common Multiple of 379,782,902,124

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 782 x 902 x 124 = 33149286544

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

902 : 1, 2, 11, 22, 41, 82, 451, 902

124 : 1, 2, 4, 31, 62, 124

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,782,902,124, is 1.

Now, the common factors can be found like this.

379:379

782:2x 17x 23

902:2x 11x 41

124:2x 2x 31

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 = 33149286544/(1x4)

LCM = 33149286544/4

LCM = 8287321636

Thus, we can understand that the LCM of 379,782,902,124 is 8287321636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 782, 902, 124

1. What is the LCM of 379, 782, 902, 124?

Answer: LCM of 379, 782, 902, 124 is 8287321636.

2. How to calculate the LCM of 379, 782, 902, 124?

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, 782, 902, 124.

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}.