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LCM of 426, 392, 580, 841, 315

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


Find the LCM of 426, 392, 580, 841, 315 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 426, 392, 580, 841, 315. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,392,580,841,315

Given numbers are 426,392,580,841,315

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

The LCM of 426,392,580,841,315 is 1053302040.

Find LCM of 426,392,580,841,315 with Prime Factorization


2 426, 392, 580, 841, 315
2 213, 196, 290, 841, 315
3 213, 98, 145, 841, 315
5 71, 98, 145, 841, 105
7 71, 98, 29, 841, 21
29 71, 14, 29, 841, 3
71, 14, 1, 29, 3

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

2 x 2 x 3 x 5 x 7 x 29 x 71 x 14 x 1 x 29 x 3 = 1053302040

Therefore, the lowest common multiple of 426,392,580,841,315 is 1053302040.

LCM Formula to Find Lowest Common Multiple of 426,392,580,841,315

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.

426 x 392 x 580 x 841 x 315 = 25658437694400

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

841 : 1, 29, 841

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,392,580,841,315, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

392:2x 2x 2x 7x 7

580:2x 2x 5x 29

841:29x 29

315:3x 3x 5x 7

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 3x 5x 7x 29 = 24360

Therefore, the value for common factors is 24360.

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 = 25658437694400/(1x24360)

LCM = 25658437694400/24360

LCM = 1053302040

Thus, we can understand that the LCM of 426,392,580,841,315 is 1053302040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 392, 580, 841, 315

1. What is the LCM of 426, 392, 580, 841, 315?

Answer: LCM of 426, 392, 580, 841, 315 is 1053302040.

2. How to calculate the LCM of 426, 392, 580, 841, 315?

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 426, 392, 580, 841, 315.

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}.