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LCM of 279, 837, 426, 980

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


Find the LCM of 279, 837, 426, 980 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 279, 837, 426, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,837,426,980

Given numbers are 279,837,426,980

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

The LCM of 279,837,426,980 is 58238460.

Find LCM of 279,837,426,980 with Prime Factorization


2 279, 837, 426, 980
3 279, 837, 213, 490
3 93, 279, 71, 490
31 31, 93, 71, 490
1, 3, 71, 490

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

2 x 3 x 3 x 31 x 1 x 3 x 71 x 490 = 58238460

Therefore, the lowest common multiple of 279,837,426,980 is 58238460.

LCM Formula to Find Lowest Common Multiple of 279,837,426,980

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.

279 x 837 x 426 x 980 = 97491182040

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.

279 : 1, 3, 9, 31, 93, 279

837 : 1, 3, 9, 27, 31, 93, 279, 837

426 : 1, 2, 3, 6, 71, 142, 213, 426

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,837,426,980, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

837:3x 3x 3x 31

426:2x 3x 71

980:2x 2x 5x 7x 7

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

2x 3x 3x 3x 31 = 1674

Therefore, the value for common factors is 1674.

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 = 97491182040/(1x1674)

LCM = 97491182040/1674

LCM = 58238460

Thus, we can understand that the LCM of 279,837,426,980 is 58238460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 837, 426, 980

1. What is the LCM of 279, 837, 426, 980?

Answer: LCM of 279, 837, 426, 980 is 58238460.

2. How to calculate the LCM of 279, 837, 426, 980?

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 279, 837, 426, 980.

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}.