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LCM of 572, 386, 519, 473

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


Find the LCM of 572, 386, 519, 473 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, 386, 519, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,386,519,473

Given numbers are 572,386,519,473

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

The LCM of 572,386,519,473 is 2463707532.

Find LCM of 572,386,519,473 with Prime Factorization


2 572, 386, 519, 473
11 286, 193, 519, 473
26, 193, 519, 43

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

2 x 11 x 26 x 193 x 519 x 43 = 2463707532

Therefore, the lowest common multiple of 572,386,519,473 is 2463707532.

LCM Formula to Find Lowest Common Multiple of 572,386,519,473

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 386 x 519 x 473 = 54201565704

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

386 : 1, 2, 193, 386

519 : 1, 3, 173, 519

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,386,519,473, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

386:2x 193

519:3x 173

473:11x 43

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 54201565704/(1x22)

LCM = 54201565704/22

LCM = 2463707532

Thus, we can understand that the LCM of 572,386,519,473 is 2463707532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 386, 519, 473

1. What is the LCM of 572, 386, 519, 473?

Answer: LCM of 572, 386, 519, 473 is 2463707532.

2. How to calculate the LCM of 572, 386, 519, 473?

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, 386, 519, 473.

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}.