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LCM of 140, 779, 874, 377, 983

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


Find the LCM of 140, 779, 874, 377, 983 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 140, 779, 874, 377, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 140,779,874,377,983

Given numbers are 140,779,874,377,983

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

The LCM of 140,779,874,377,983 is 929583052580.

Find LCM of 140,779,874,377,983 with Prime Factorization


2 140, 779, 874, 377, 983
19 70, 779, 437, 377, 983
70, 41, 23, 377, 983

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

2 x 19 x 70 x 41 x 23 x 377 x 983 = 929583052580

Therefore, the lowest common multiple of 140,779,874,377,983 is 929583052580.

LCM Formula to Find Lowest Common Multiple of 140,779,874,377,983

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.

140 x 779 x 874 x 377 x 983 = 35324155998040

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

779 : 1, 19, 41, 779

874 : 1, 2, 19, 23, 38, 46, 437, 874

377 : 1, 13, 29, 377

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,779,874,377,983, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

779:19x 41

874:2x 19x 23

377:13x 29

983:983

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 35324155998040/(1x38)

LCM = 35324155998040/38

LCM = 929583052580

Thus, we can understand that the LCM of 140,779,874,377,983 is 929583052580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 140, 779, 874, 377, 983

1. What is the LCM of 140, 779, 874, 377, 983?

Answer: LCM of 140, 779, 874, 377, 983 is 929583052580.

2. How to calculate the LCM of 140, 779, 874, 377, 983?

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 140, 779, 874, 377, 983.

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}.