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LCM of 391, 782, 121, 959, 501

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


Find the LCM of 391, 782, 121, 959, 501 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, 782, 121, 959, 501. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,782,121,959,501

Given numbers are 391,782,121,959,501

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

The LCM of 391,782,121,959,501 is 45461991498.

Find LCM of 391,782,121,959,501 with Prime Factorization


17 391, 782, 121, 959, 501
23 23, 46, 121, 959, 501
1, 2, 121, 959, 501

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

17 x 23 x 1 x 2 x 121 x 959 x 501 = 45461991498

Therefore, the lowest common multiple of 391,782,121,959,501 is 45461991498.

LCM Formula to Find Lowest Common Multiple of 391,782,121,959,501

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 782 x 121 x 959 x 501 = 17775638675718

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

121 : 1, 11, 121

959 : 1, 7, 137, 959

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,782,121,959,501, is 1.

Now, the common factors can be found like this.

391:17x 23

782:2x 17x 23

121:11x 11

959:7x 137

501:3x 167

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

17x 23 = 391

Therefore, the value for common factors is 391.

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 = 17775638675718/(1x391)

LCM = 17775638675718/391

LCM = 45461991498

Thus, we can understand that the LCM of 391,782,121,959,501 is 45461991498.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 782, 121, 959, 501

1. What is the LCM of 391, 782, 121, 959, 501?

Answer: LCM of 391, 782, 121, 959, 501 is 45461991498.

2. How to calculate the LCM of 391, 782, 121, 959, 501?

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, 782, 121, 959, 501.

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}.