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LCM of 107, 759, 491, 156, 255

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


Find the LCM of 107, 759, 491, 156, 255 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 107, 759, 491, 156, 255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,759,491,156,255

Given numbers are 107,759,491,156,255

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

The LCM of 107,759,491,156,255 is 176250076860.

Find LCM of 107,759,491,156,255 with Prime Factorization


3 107, 759, 491, 156, 255
107, 253, 491, 52, 85

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

3 x 107 x 253 x 491 x 52 x 85 = 176250076860

Therefore, the lowest common multiple of 107,759,491,156,255 is 176250076860.

LCM Formula to Find Lowest Common Multiple of 107,759,491,156,255

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.

107 x 759 x 491 x 156 x 255 = 1586250691740

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.

107 : 1, 107

759 : 1, 3, 11, 23, 33, 69, 253, 759

491 : 1, 491

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,759,491,156,255, is 1.

Now, the common factors can be found like this.

107:107

759:3x 11x 23

491:491

156:2x 2x 3x 13

255:3x 5x 17

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 1586250691740/(1x9)

LCM = 1586250691740/9

LCM = 176250076860

Thus, we can understand that the LCM of 107,759,491,156,255 is 176250076860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 759, 491, 156, 255

1. What is the LCM of 107, 759, 491, 156, 255?

Answer: LCM of 107, 759, 491, 156, 255 is 176250076860.

2. How to calculate the LCM of 107, 759, 491, 156, 255?

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 107, 759, 491, 156, 255.

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}.