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LCM of 560, 121, 624, 613

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


Find the LCM of 560, 121, 624, 613 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 560, 121, 624, 613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,121,624,613

Given numbers are 560,121,624,613

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

The LCM of 560,121,624,613 is 1619938320.

Find LCM of 560,121,624,613 with Prime Factorization


2 560, 121, 624, 613
2 280, 121, 312, 613
2 140, 121, 156, 613
2 70, 121, 78, 613
35, 121, 39, 613

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

2 x 2 x 2 x 2 x 35 x 121 x 39 x 613 = 1619938320

Therefore, the lowest common multiple of 560,121,624,613 is 1619938320.

LCM Formula to Find Lowest Common Multiple of 560,121,624,613

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.

560 x 121 x 624 x 613 = 25919013120

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

121 : 1, 11, 121

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,121,624,613, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

121:11x 11

624:2x 2x 2x 2x 3x 13

613:613

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 = 25919013120/(1x16)

LCM = 25919013120/16

LCM = 1619938320

Thus, we can understand that the LCM of 560,121,624,613 is 1619938320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 121, 624, 613

1. What is the LCM of 560, 121, 624, 613?

Answer: LCM of 560, 121, 624, 613 is 1619938320.

2. How to calculate the LCM of 560, 121, 624, 613?

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 560, 121, 624, 613.

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}.