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LCM of 747, 572, 414, 709

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


Find the LCM of 747, 572, 414, 709 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 747, 572, 414, 709. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,572,414,709

Given numbers are 747,572,414,709

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

The LCM of 747,572,414,709 is 6967720188.

Find LCM of 747,572,414,709 with Prime Factorization


2 747, 572, 414, 709
3 747, 286, 207, 709
3 249, 286, 69, 709
83, 286, 23, 709

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

2 x 3 x 3 x 83 x 286 x 23 x 709 = 6967720188

Therefore, the lowest common multiple of 747,572,414,709 is 6967720188.

LCM Formula to Find Lowest Common Multiple of 747,572,414,709

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.

747 x 572 x 414 x 709 = 125418963384

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.

747 : 1, 3, 9, 83, 249, 747

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,572,414,709, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

572:2x 2x 11x 13

414:2x 3x 3x 23

709:709

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 125418963384/(1x18)

LCM = 125418963384/18

LCM = 6967720188

Thus, we can understand that the LCM of 747,572,414,709 is 6967720188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 572, 414, 709

1. What is the LCM of 747, 572, 414, 709?

Answer: LCM of 747, 572, 414, 709 is 6967720188.

2. How to calculate the LCM of 747, 572, 414, 709?

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 747, 572, 414, 709.

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}.