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LCM of 391, 772, 488, 679, 956

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


Find the LCM of 391, 772, 488, 679, 956 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 391, 772, 488, 679, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,772,488,679,956

Given numbers are 391,772,488,679,956

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

The LCM of 391,772,488,679,956 is 5976151018264.

Find LCM of 391,772,488,679,956 with Prime Factorization


2 391, 772, 488, 679, 956
2 391, 386, 244, 679, 478
391, 193, 122, 679, 239

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

2 x 2 x 391 x 193 x 122 x 679 x 239 = 5976151018264

Therefore, the lowest common multiple of 391,772,488,679,956 is 5976151018264.

LCM Formula to Find Lowest Common Multiple of 391,772,488,679,956

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.

391 x 772 x 488 x 679 x 956 = 95618416292224

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.

391 : 1, 17, 23, 391

772 : 1, 2, 4, 193, 386, 772

488 : 1, 2, 4, 8, 61, 122, 244, 488

679 : 1, 7, 97, 679

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,772,488,679,956, is 1.

Now, the common factors can be found like this.

391:17x 23

772:2x 2x 193

488:2x 2x 2x 61

679:7x 97

956:2x 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 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 = 95618416292224/(1x16)

LCM = 95618416292224/16

LCM = 5976151018264

Thus, we can understand that the LCM of 391,772,488,679,956 is 5976151018264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 772, 488, 679, 956

1. What is the LCM of 391, 772, 488, 679, 956?

Answer: LCM of 391, 772, 488, 679, 956 is 5976151018264.

2. How to calculate the LCM of 391, 772, 488, 679, 956?

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 391, 772, 488, 679, 956.

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}.