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LCM of 608, 451, 138, 536, 861

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


Find the LCM of 608, 451, 138, 536, 861 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 608, 451, 138, 536, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,451,138,536,861

Given numbers are 608,451,138,536,861

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

The LCM of 608,451,138,536,861 is 8873645088.

Find LCM of 608,451,138,536,861 with Prime Factorization


2 608, 451, 138, 536, 861
2 304, 451, 69, 268, 861
2 152, 451, 69, 134, 861
3 76, 451, 69, 67, 861
41 76, 451, 23, 67, 287
76, 11, 23, 67, 7

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

2 x 2 x 2 x 3 x 41 x 76 x 11 x 23 x 67 x 7 = 8873645088

Therefore, the lowest common multiple of 608,451,138,536,861 is 8873645088.

LCM Formula to Find Lowest Common Multiple of 608,451,138,536,861

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.

608 x 451 x 138 x 536 x 861 = 17463333533184

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

451 : 1, 11, 41, 451

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,451,138,536,861, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

451:11x 41

138:2x 3x 23

536:2x 2x 2x 67

861:3x 7x 41

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 2x 2x 3x 41 = 1968

Therefore, the value for common factors is 1968.

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 = 17463333533184/(1x1968)

LCM = 17463333533184/1968

LCM = 8873645088

Thus, we can understand that the LCM of 608,451,138,536,861 is 8873645088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 451, 138, 536, 861

1. What is the LCM of 608, 451, 138, 536, 861?

Answer: LCM of 608, 451, 138, 536, 861 is 8873645088.

2. How to calculate the LCM of 608, 451, 138, 536, 861?

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 608, 451, 138, 536, 861.

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}.