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LCM of 858, 627, 210, 655, 572

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


Find the LCM of 858, 627, 210, 655, 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 858, 627, 210, 655, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,627,210,655,572

Given numbers are 858,627,210,655,572

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

The LCM of 858,627,210,655,572 is 149489340.

Find LCM of 858,627,210,655,572 with Prime Factorization


2 858, 627, 210, 655, 572
3 429, 627, 105, 655, 286
5 143, 209, 35, 655, 286
11 143, 209, 7, 131, 286
13 13, 19, 7, 131, 26
1, 19, 7, 131, 2

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

2 x 3 x 5 x 11 x 13 x 1 x 19 x 7 x 131 x 2 = 149489340

Therefore, the lowest common multiple of 858,627,210,655,572 is 149489340.

LCM Formula to Find Lowest Common Multiple of 858,627,210,655,572

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.

858 x 627 x 210 x 655 x 572 = 42326411727600

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

627 : 1, 3, 11, 19, 33, 57, 209, 627

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

655 : 1, 5, 131, 655

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 858,627,210,655,572, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

627:3x 11x 19

210:2x 3x 5x 7

655:5x 131

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 3x 3x 5x 11x 11x 13 = 283140

Therefore, the value for common factors is 283140.

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 = 42326411727600/(1x283140)

LCM = 42326411727600/283140

LCM = 149489340

Thus, we can understand that the LCM of 858,627,210,655,572 is 149489340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 627, 210, 655, 572

1. What is the LCM of 858, 627, 210, 655, 572?

Answer: LCM of 858, 627, 210, 655, 572 is 149489340.

2. How to calculate the LCM of 858, 627, 210, 655, 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 858, 627, 210, 655, 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}.