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LCM of 660, 493, 722, 617, 941

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


Find the LCM of 660, 493, 722, 617, 941 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 660, 493, 722, 617, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,493,722,617,941

Given numbers are 660,493,722,617,941

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

The LCM of 660,493,722,617,941 is 68198189321460.

Find LCM of 660,493,722,617,941 with Prime Factorization


2 660, 493, 722, 617, 941
330, 493, 361, 617, 941

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

2 x 330 x 493 x 361 x 617 x 941 = 68198189321460

Therefore, the lowest common multiple of 660,493,722,617,941 is 68198189321460.

LCM Formula to Find Lowest Common Multiple of 660,493,722,617,941

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.

660 x 493 x 722 x 617 x 941 = 136396378642920

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

493 : 1, 17, 29, 493

722 : 1, 2, 19, 38, 361, 722

617 : 1, 617

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,493,722,617,941, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

493:17x 29

722:2x 19x 19

617:617

941:941

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 = 136396378642920/(1x2)

LCM = 136396378642920/2

LCM = 68198189321460

Thus, we can understand that the LCM of 660,493,722,617,941 is 68198189321460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 493, 722, 617, 941

1. What is the LCM of 660, 493, 722, 617, 941?

Answer: LCM of 660, 493, 722, 617, 941 is 68198189321460.

2. How to calculate the LCM of 660, 493, 722, 617, 941?

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 660, 493, 722, 617, 941.

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}.