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LCM of 319, 387, 979, 896, 820

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


Find the LCM of 319, 387, 979, 896, 820 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 319, 387, 979, 896, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,387,979,896,820

Given numbers are 319,387,979,896,820

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

The LCM of 319,387,979,896,820 is 2018150386560.

Find LCM of 319,387,979,896,820 with Prime Factorization


2 319, 387, 979, 896, 820
2 319, 387, 979, 448, 410
11 319, 387, 979, 224, 205
29, 387, 89, 224, 205

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

2 x 2 x 11 x 29 x 387 x 89 x 224 x 205 = 2018150386560

Therefore, the lowest common multiple of 319,387,979,896,820 is 2018150386560.

LCM Formula to Find Lowest Common Multiple of 319,387,979,896,820

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.

319 x 387 x 979 x 896 x 820 = 88798617008640

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.

319 : 1, 11, 29, 319

387 : 1, 3, 9, 43, 129, 387

979 : 1, 11, 89, 979

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,387,979,896,820, is 1.

Now, the common factors can be found like this.

319:11x 29

387:3x 3x 43

979:11x 89

896:2x 2x 2x 2x 2x 2x 2x 7

820:2x 2x 5x 41

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 11 = 44

Therefore, the value for common factors is 44.

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 = 88798617008640/(1x44)

LCM = 88798617008640/44

LCM = 2018150386560

Thus, we can understand that the LCM of 319,387,979,896,820 is 2018150386560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 387, 979, 896, 820

1. What is the LCM of 319, 387, 979, 896, 820?

Answer: LCM of 319, 387, 979, 896, 820 is 2018150386560.

2. How to calculate the LCM of 319, 387, 979, 896, 820?

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 319, 387, 979, 896, 820.

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}.