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LCM of 391, 214, 107, 159

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


Find the LCM of 391, 214, 107, 159 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, 214, 107, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,214,107,159

Given numbers are 391,214,107,159

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

The LCM of 391,214,107,159 is 13304166.

Find LCM of 391,214,107,159 with Prime Factorization


107 391, 214, 107, 159
391, 2, 1, 159

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

107 x 391 x 2 x 1 x 159 = 13304166

Therefore, the lowest common multiple of 391,214,107,159 is 13304166.

LCM Formula to Find Lowest Common Multiple of 391,214,107,159

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 214 x 107 x 159 = 1423545762

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

214 : 1, 2, 107, 214

107 : 1, 107

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,214,107,159, is 1.

Now, the common factors can be found like this.

391:17x 23

214:2x 107

107:107

159:3x 53

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

107 = 107

Therefore, the value for common factors is 107.

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 = 1423545762/(1x107)

LCM = 1423545762/107

LCM = 13304166

Thus, we can understand that the LCM of 391,214,107,159 is 13304166.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 214, 107, 159

1. What is the LCM of 391, 214, 107, 159?

Answer: LCM of 391, 214, 107, 159 is 13304166.

2. How to calculate the LCM of 391, 214, 107, 159?

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, 214, 107, 159.

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}.