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LCM of 391, 302, 545, 856, 946

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


Find the LCM of 391, 302, 545, 856, 946 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, 302, 545, 856, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,302,545,856,946

Given numbers are 391,302,545,856,946

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

The LCM of 391,302,545,856,946 is 13028220862360.

Find LCM of 391,302,545,856,946 with Prime Factorization


2 391, 302, 545, 856, 946
391, 151, 545, 428, 473

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

2 x 391 x 151 x 545 x 428 x 473 = 13028220862360

Therefore, the lowest common multiple of 391,302,545,856,946 is 13028220862360.

LCM Formula to Find Lowest Common Multiple of 391,302,545,856,946

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 302 x 545 x 856 x 946 = 52112883449440

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

302 : 1, 2, 151, 302

545 : 1, 5, 109, 545

856 : 1, 2, 4, 8, 107, 214, 428, 856

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,302,545,856,946, is 1.

Now, the common factors can be found like this.

391:17x 23

302:2x 151

545:5x 109

856:2x 2x 2x 107

946:2x 11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 52112883449440/(1x4)

LCM = 52112883449440/4

LCM = 13028220862360

Thus, we can understand that the LCM of 391,302,545,856,946 is 13028220862360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 302, 545, 856, 946

1. What is the LCM of 391, 302, 545, 856, 946?

Answer: LCM of 391, 302, 545, 856, 946 is 13028220862360.

2. How to calculate the LCM of 391, 302, 545, 856, 946?

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, 302, 545, 856, 946.

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}.