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LCM of 979, 901, 156, 614

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


Find the LCM of 979, 901, 156, 614 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 979, 901, 156, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,901,156,614

Given numbers are 979,901,156,614

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

The LCM of 979,901,156,614 is 42244527468.

Find LCM of 979,901,156,614 with Prime Factorization


2 979, 901, 156, 614
979, 901, 78, 307

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

2 x 979 x 901 x 78 x 307 = 42244527468

Therefore, the lowest common multiple of 979,901,156,614 is 42244527468.

LCM Formula to Find Lowest Common Multiple of 979,901,156,614

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.

979 x 901 x 156 x 614 = 84489054936

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.

979 : 1, 11, 89, 979

901 : 1, 17, 53, 901

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

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,901,156,614, is 1.

Now, the common factors can be found like this.

979:11x 89

901:17x 53

156:2x 2x 3x 13

614:2x 307

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 = 84489054936/(1x2)

LCM = 84489054936/2

LCM = 42244527468

Thus, we can understand that the LCM of 979,901,156,614 is 42244527468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 901, 156, 614

1. What is the LCM of 979, 901, 156, 614?

Answer: LCM of 979, 901, 156, 614 is 42244527468.

2. How to calculate the LCM of 979, 901, 156, 614?

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 979, 901, 156, 614.

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}.