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LCM of 958, 960, 793, 367, 677

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


Find the LCM of 958, 960, 793, 367, 677 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 958, 960, 793, 367, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,960,793,367,677

Given numbers are 958,960,793,367,677

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

The LCM of 958,960,793,367,677 is 90601349542080.

Find LCM of 958,960,793,367,677 with Prime Factorization


2 958, 960, 793, 367, 677
479, 480, 793, 367, 677

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

2 x 479 x 480 x 793 x 367 x 677 = 90601349542080

Therefore, the lowest common multiple of 958,960,793,367,677 is 90601349542080.

LCM Formula to Find Lowest Common Multiple of 958,960,793,367,677

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.

958 x 960 x 793 x 367 x 677 = 181202699084160

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.

958 : 1, 2, 479, 958

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

793 : 1, 13, 61, 793

367 : 1, 367

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,960,793,367,677, is 1.

Now, the common factors can be found like this.

958:2x 479

960:2x 2x 2x 2x 2x 2x 3x 5

793:13x 61

367:367

677:677

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 = 181202699084160/(1x2)

LCM = 181202699084160/2

LCM = 90601349542080

Thus, we can understand that the LCM of 958,960,793,367,677 is 90601349542080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 960, 793, 367, 677

1. What is the LCM of 958, 960, 793, 367, 677?

Answer: LCM of 958, 960, 793, 367, 677 is 90601349542080.

2. How to calculate the LCM of 958, 960, 793, 367, 677?

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 958, 960, 793, 367, 677.

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}.