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LCM of 610, 322, 165, 220, 572

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


Find the LCM of 610, 322, 165, 220, 572 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 610, 322, 165, 220, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,322,165,220,572

Given numbers are 610,322,165,220,572

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

The LCM of 610,322,165,220,572 is 84264180.

Find LCM of 610,322,165,220,572 with Prime Factorization


2 610, 322, 165, 220, 572
2 305, 161, 165, 110, 286
5 305, 161, 165, 55, 143
11 61, 161, 33, 11, 143
61, 161, 3, 1, 13

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

2 x 2 x 5 x 11 x 61 x 161 x 3 x 1 x 13 = 84264180

Therefore, the lowest common multiple of 610,322,165,220,572 is 84264180.

LCM Formula to Find Lowest Common Multiple of 610,322,165,220,572

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.

610 x 322 x 165 x 220 x 572 = 4078386312000

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

322 : 1, 2, 7, 14, 23, 46, 161, 322

165 : 1, 3, 5, 11, 15, 33, 55, 165

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,322,165,220,572, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

322:2x 7x 23

165:3x 5x 11

220:2x 2x 5x 11

572:2x 2x 11x 13

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 5x 5x 11x 11 = 48400

Therefore, the value for common factors is 48400.

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 = 4078386312000/(1x48400)

LCM = 4078386312000/48400

LCM = 84264180

Thus, we can understand that the LCM of 610,322,165,220,572 is 84264180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 322, 165, 220, 572

1. What is the LCM of 610, 322, 165, 220, 572?

Answer: LCM of 610, 322, 165, 220, 572 is 84264180.

2. How to calculate the LCM of 610, 322, 165, 220, 572?

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 610, 322, 165, 220, 572.

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}.