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LCM of 129, 672, 756, 983

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


Find the LCM of 129, 672, 756, 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 129, 672, 756, 983. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 129,672,756,983

Given numbers are 129,672,756,983

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

The LCM of 129,672,756,983 is 255642912.

Find LCM of 129,672,756,983 with Prime Factorization


2 129, 672, 756, 983
2 129, 336, 378, 983
3 129, 168, 189, 983
7 43, 56, 63, 983
43, 8, 9, 983

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

2 x 2 x 3 x 7 x 43 x 8 x 9 x 983 = 255642912

Therefore, the lowest common multiple of 129,672,756,983 is 255642912.

LCM Formula to Find Lowest Common Multiple of 129,672,756,983

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.

129 x 672 x 756 x 983 = 64422013824

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.

129 : 1, 3, 43, 129

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

983 : 1, 983

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,672,756,983, is 1.

Now, the common factors can be found like this.

129:3x 43

672:2x 2x 2x 2x 2x 3x 7

756:2x 2x 3x 3x 3x 7

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 2x 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 64422013824/(1x252)

LCM = 64422013824/252

LCM = 255642912

Thus, we can understand that the LCM of 129,672,756,983 is 255642912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 129, 672, 756, 983

1. What is the LCM of 129, 672, 756, 983?

Answer: LCM of 129, 672, 756, 983 is 255642912.

2. How to calculate the LCM of 129, 672, 756, 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 129, 672, 756, 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}.