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LCM of 379, 989, 892, 630

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


Find the LCM of 379, 989, 892, 630 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, 989, 892, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 379,989,892,630

Given numbers are 379,989,892,630

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

The LCM of 379,989,892,630 is 105320014380.

Find LCM of 379,989,892,630 with Prime Factorization


2 379, 989, 892, 630
379, 989, 446, 315

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

2 x 379 x 989 x 446 x 315 = 105320014380

Therefore, the lowest common multiple of 379,989,892,630 is 105320014380.

LCM Formula to Find Lowest Common Multiple of 379,989,892,630

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 989 x 892 x 630 = 210640028760

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

989 : 1, 23, 43, 989

892 : 1, 2, 4, 223, 446, 892

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,989,892,630, is 1.

Now, the common factors can be found like this.

379:379

989:23x 43

892:2x 2x 223

630:2x 3x 3x 5x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 210640028760/(1x2)

LCM = 210640028760/2

LCM = 105320014380

Thus, we can understand that the LCM of 379,989,892,630 is 105320014380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 379, 989, 892, 630

1. What is the LCM of 379, 989, 892, 630?

Answer: LCM of 379, 989, 892, 630 is 105320014380.

2. How to calculate the LCM of 379, 989, 892, 630?

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, 989, 892, 630.

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}.