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LCM of 572, 878, 136, 884, 597

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


Find the LCM of 572, 878, 136, 884, 597 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 572, 878, 136, 884, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,878,136,884,597

Given numbers are 572,878,136,884,597

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

The LCM of 572,878,136,884,597 is 5096990184.

Find LCM of 572,878,136,884,597 with Prime Factorization


2 572, 878, 136, 884, 597
2 286, 439, 68, 442, 597
13 143, 439, 34, 221, 597
17 11, 439, 34, 17, 597
11, 439, 2, 1, 597

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

2 x 2 x 13 x 17 x 11 x 439 x 2 x 1 x 597 = 5096990184

Therefore, the lowest common multiple of 572,878,136,884,597 is 5096990184.

LCM Formula to Find Lowest Common Multiple of 572,878,136,884,597

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.

572 x 878 x 136 x 884 x 597 = 36045914581248

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.

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

878 : 1, 2, 439, 878

136 : 1, 2, 4, 8, 17, 34, 68, 136

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,878,136,884,597, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

878:2x 439

136:2x 2x 2x 17

884:2x 2x 13x 17

597:3x 199

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 2x 13x 17 = 7072

Therefore, the value for common factors is 7072.

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 = 36045914581248/(1x7072)

LCM = 36045914581248/7072

LCM = 5096990184

Thus, we can understand that the LCM of 572,878,136,884,597 is 5096990184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 878, 136, 884, 597

1. What is the LCM of 572, 878, 136, 884, 597?

Answer: LCM of 572, 878, 136, 884, 597 is 5096990184.

2. How to calculate the LCM of 572, 878, 136, 884, 597?

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 572, 878, 136, 884, 597.

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}.