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LCM of 341, 270, 979, 767

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


Find the LCM of 341, 270, 979, 767 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 341, 270, 979, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,270,979,767

Given numbers are 341,270,979,767

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

The LCM of 341,270,979,767 is 6284974410.

Find LCM of 341,270,979,767 with Prime Factorization


11 341, 270, 979, 767
31, 270, 89, 767

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

11 x 31 x 270 x 89 x 767 = 6284974410

Therefore, the lowest common multiple of 341,270,979,767 is 6284974410.

LCM Formula to Find Lowest Common Multiple of 341,270,979,767

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.

341 x 270 x 979 x 767 = 69134718510

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.

341 : 1, 11, 31, 341

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

979 : 1, 11, 89, 979

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,270,979,767, is 1.

Now, the common factors can be found like this.

341:11x 31

270:2x 3x 3x 3x 5

979:11x 89

767:13x 59

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

11 = 11

Therefore, the value for common factors is 11.

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 = 69134718510/(1x11)

LCM = 69134718510/11

LCM = 6284974410

Thus, we can understand that the LCM of 341,270,979,767 is 6284974410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 270, 979, 767

1. What is the LCM of 341, 270, 979, 767?

Answer: LCM of 341, 270, 979, 767 is 6284974410.

2. How to calculate the LCM of 341, 270, 979, 767?

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 341, 270, 979, 767.

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}.