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LCM of 676, 977, 338, 820

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


Find the LCM of 676, 977, 338, 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 676, 977, 338, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,977,338,820

Given numbers are 676,977,338,820

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

The LCM of 676,977,338,820 is 135392660.

Find LCM of 676,977,338,820 with Prime Factorization


2 676, 977, 338, 820
2 338, 977, 169, 410
13 169, 977, 169, 205
13 13, 977, 13, 205
1, 977, 1, 205

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

2 x 2 x 13 x 13 x 1 x 977 x 1 x 205 = 135392660

Therefore, the lowest common multiple of 676,977,338,820 is 135392660.

LCM Formula to Find Lowest Common Multiple of 676,977,338,820

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.

676 x 977 x 338 x 820 = 183050876320

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

977 : 1, 977

338 : 1, 2, 13, 26, 169, 338

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 676,977,338,820, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

977:977

338:2x 13x 13

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 2x 13x 13 = 1352

Therefore, the value for common factors is 1352.

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 = 183050876320/(1x1352)

LCM = 183050876320/1352

LCM = 135392660

Thus, we can understand that the LCM of 676,977,338,820 is 135392660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 977, 338, 820

1. What is the LCM of 676, 977, 338, 820?

Answer: LCM of 676, 977, 338, 820 is 135392660.

2. How to calculate the LCM of 676, 977, 338, 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 676, 977, 338, 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}.