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LCM of 119, 979, 138, 737, 464

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


Find the LCM of 119, 979, 138, 737, 464 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 119, 979, 138, 737, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,979,138,737,464

Given numbers are 119,979,138,737,464

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

The LCM of 119,979,138,737,464 is 249903033072.

Find LCM of 119,979,138,737,464 with Prime Factorization


2 119, 979, 138, 737, 464
11 119, 979, 69, 737, 232
119, 89, 69, 67, 232

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

2 x 11 x 119 x 89 x 69 x 67 x 232 = 249903033072

Therefore, the lowest common multiple of 119,979,138,737,464 is 249903033072.

LCM Formula to Find Lowest Common Multiple of 119,979,138,737,464

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.

119 x 979 x 138 x 737 x 464 = 5497866727584

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.

119 : 1, 7, 17, 119

979 : 1, 11, 89, 979

138 : 1, 2, 3, 6, 23, 46, 69, 138

737 : 1, 11, 67, 737

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,979,138,737,464, is 1.

Now, the common factors can be found like this.

119:7x 17

979:11x 89

138:2x 3x 23

737:11x 67

464:2x 2x 2x 2x 29

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 5497866727584/(1x22)

LCM = 5497866727584/22

LCM = 249903033072

Thus, we can understand that the LCM of 119,979,138,737,464 is 249903033072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 979, 138, 737, 464

1. What is the LCM of 119, 979, 138, 737, 464?

Answer: LCM of 119, 979, 138, 737, 464 is 249903033072.

2. How to calculate the LCM of 119, 979, 138, 737, 464?

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 119, 979, 138, 737, 464.

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}.