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LCM of 676, 872, 316, 920

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


Find the LCM of 676, 872, 316, 920 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 676, 872, 316, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,872,316,920

Given numbers are 676,872,316,920

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

The LCM of 676,872,316,920 is 1338838280.

Find LCM of 676,872,316,920 with Prime Factorization


2 676, 872, 316, 920
2 338, 436, 158, 460
2 169, 218, 79, 230
169, 109, 79, 115

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

2 x 2 x 2 x 169 x 109 x 79 x 115 = 1338838280

Therefore, the lowest common multiple of 676,872,316,920 is 1338838280.

LCM Formula to Find Lowest Common Multiple of 676,872,316,920

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.

676 x 872 x 316 x 920 = 171371299840

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

872 : 1, 2, 4, 8, 109, 218, 436, 872

316 : 1, 2, 4, 79, 158, 316

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,872,316,920, is 4.

Now, the common factors can be found like this.

676:2x 2x 13x 13

872:2x 2x 2x 109

316:2x 2x 79

920:2x 2x 2x 5x 23

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 171371299840/(4x32)

LCM = 171371299840/128

LCM = 1338838280

Thus, we can understand that the LCM of 676,872,316,920 is 1338838280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 872, 316, 920

1. What is the LCM of 676, 872, 316, 920?

Answer: LCM of 676, 872, 316, 920 is 1338838280.

2. How to calculate the LCM of 676, 872, 316, 920?

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 676, 872, 316, 920.

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}.