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LCM of 796, 586, 840, 724, 478

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


Find the LCM of 796, 586, 840, 724, 478 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 796, 586, 840, 724, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,586,840,724,478

Given numbers are 796,586,840,724,478

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

The LCM of 796,586,840,724,478 is 2118734110920.

Find LCM of 796,586,840,724,478 with Prime Factorization


2 796, 586, 840, 724, 478
2 398, 293, 420, 362, 239
199, 293, 210, 181, 239

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

2 x 2 x 199 x 293 x 210 x 181 x 239 = 2118734110920

Therefore, the lowest common multiple of 796,586,840,724,478 is 2118734110920.

LCM Formula to Find Lowest Common Multiple of 796,586,840,724,478

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.

796 x 586 x 840 x 724 x 478 = 135598983098880

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.

796 : 1, 2, 4, 199, 398, 796

586 : 1, 2, 293, 586

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

724 : 1, 2, 4, 181, 362, 724

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,586,840,724,478, is 2.

Now, the common factors can be found like this.

796:2x 2x 199

586:2x 293

840:2x 2x 2x 3x 5x 7

724:2x 2x 181

478:2x 239

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 135598983098880/(2x32)

LCM = 135598983098880/64

LCM = 2118734110920

Thus, we can understand that the LCM of 796,586,840,724,478 is 2118734110920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 586, 840, 724, 478

1. What is the LCM of 796, 586, 840, 724, 478?

Answer: LCM of 796, 586, 840, 724, 478 is 2118734110920.

2. How to calculate the LCM of 796, 586, 840, 724, 478?

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 796, 586, 840, 724, 478.

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}.