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LCM of 118, 115, 619, 676, 347

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


Find the LCM of 118, 115, 619, 676, 347 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 118, 115, 619, 676, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 118,115,619,676,347

Given numbers are 118,115,619,676,347

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

The LCM of 118,115,619,676,347 is 985182461380.

Find LCM of 118,115,619,676,347 with Prime Factorization


2 118, 115, 619, 676, 347
59, 115, 619, 338, 347

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

2 x 59 x 115 x 619 x 338 x 347 = 985182461380

Therefore, the lowest common multiple of 118,115,619,676,347 is 985182461380.

LCM Formula to Find Lowest Common Multiple of 118,115,619,676,347

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.

118 x 115 x 619 x 676 x 347 = 1970364922760

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.

118 : 1, 2, 59, 118

115 : 1, 5, 23, 115

619 : 1, 619

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,115,619,676,347, is 1.

Now, the common factors can be found like this.

118:2x 59

115:5x 23

619:619

676:2x 2x 13x 13

347:347

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1970364922760/(1x2)

LCM = 1970364922760/2

LCM = 985182461380

Thus, we can understand that the LCM of 118,115,619,676,347 is 985182461380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 118, 115, 619, 676, 347

1. What is the LCM of 118, 115, 619, 676, 347?

Answer: LCM of 118, 115, 619, 676, 347 is 985182461380.

2. How to calculate the LCM of 118, 115, 619, 676, 347?

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 118, 115, 619, 676, 347.

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}.