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LCM of 572, 390, 638, 753

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


Find the LCM of 572, 390, 638, 753 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, 390, 638, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,390,638,753

Given numbers are 572,390,638,753

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

The LCM of 572,390,638,753 is 62453820.

Find LCM of 572,390,638,753 with Prime Factorization


2 572, 390, 638, 753
3 286, 195, 319, 753
11 286, 65, 319, 251
13 26, 65, 29, 251
2, 5, 29, 251

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

2 x 3 x 11 x 13 x 2 x 5 x 29 x 251 = 62453820

Therefore, the lowest common multiple of 572,390,638,753 is 62453820.

LCM Formula to Find Lowest Common Multiple of 572,390,638,753

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 390 x 638 x 753 = 107170755120

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

638 : 1, 2, 11, 22, 29, 58, 319, 638

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,390,638,753, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

390:2x 3x 5x 13

638:2x 11x 29

753:3x 251

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 11x 13 = 1716

Therefore, the value for common factors is 1716.

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 = 107170755120/(1x1716)

LCM = 107170755120/1716

LCM = 62453820

Thus, we can understand that the LCM of 572,390,638,753 is 62453820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 390, 638, 753

1. What is the LCM of 572, 390, 638, 753?

Answer: LCM of 572, 390, 638, 753 is 62453820.

2. How to calculate the LCM of 572, 390, 638, 753?

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, 390, 638, 753.

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}.