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LCM of 720, 614, 572, 169

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


Find the LCM of 720, 614, 572, 169 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 720, 614, 572, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,614,572,169

Given numbers are 720,614,572,169

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

The LCM of 720,614,572,169 is 410913360.

Find LCM of 720,614,572,169 with Prime Factorization


2 720, 614, 572, 169
2 360, 307, 286, 169
13 180, 307, 143, 169
180, 307, 11, 13

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

2 x 2 x 13 x 180 x 307 x 11 x 13 = 410913360

Therefore, the lowest common multiple of 720,614,572,169 is 410913360.

LCM Formula to Find Lowest Common Multiple of 720,614,572,169

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.

720 x 614 x 572 x 169 = 42734989440

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

614 : 1, 2, 307, 614

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

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,614,572,169, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

614:2x 307

572:2x 2x 11x 13

169:13x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 42734989440/(1x104)

LCM = 42734989440/104

LCM = 410913360

Thus, we can understand that the LCM of 720,614,572,169 is 410913360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 614, 572, 169

1. What is the LCM of 720, 614, 572, 169?

Answer: LCM of 720, 614, 572, 169 is 410913360.

2. How to calculate the LCM of 720, 614, 572, 169?

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 720, 614, 572, 169.

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}.