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LCM of 753, 572, 542, 670, 524

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


Find the LCM of 753, 572, 542, 670, 524 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 753, 572, 542, 670, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,572,542,670,524

Given numbers are 753,572,542,670,524

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

The LCM of 753,572,542,670,524 is 5122434319860.

Find LCM of 753,572,542,670,524 with Prime Factorization


2 753, 572, 542, 670, 524
2 753, 286, 271, 335, 262
753, 143, 271, 335, 131

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

2 x 2 x 753 x 143 x 271 x 335 x 131 = 5122434319860

Therefore, the lowest common multiple of 753,572,542,670,524 is 5122434319860.

LCM Formula to Find Lowest Common Multiple of 753,572,542,670,524

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.

753 x 572 x 542 x 670 x 524 = 81958949117760

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.

753 : 1, 3, 251, 753

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

542 : 1, 2, 271, 542

670 : 1, 2, 5, 10, 67, 134, 335, 670

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,572,542,670,524, is 1.

Now, the common factors can be found like this.

753:3x 251

572:2x 2x 11x 13

542:2x 271

670:2x 5x 67

524:2x 2x 131

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 2 = 16

Therefore, the value for common factors is 16.

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 = 81958949117760/(1x16)

LCM = 81958949117760/16

LCM = 5122434319860

Thus, we can understand that the LCM of 753,572,542,670,524 is 5122434319860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 572, 542, 670, 524

1. What is the LCM of 753, 572, 542, 670, 524?

Answer: LCM of 753, 572, 542, 670, 524 is 5122434319860.

2. How to calculate the LCM of 753, 572, 542, 670, 524?

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 753, 572, 542, 670, 524.

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}.