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LCM of 251, 826, 826, 987

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


Find the LCM of 251, 826, 826, 987 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 251, 826, 826, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,826,826,987

Given numbers are 251,826,826,987

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

The LCM of 251,826,826,987 is 29232966.

Find LCM of 251,826,826,987 with Prime Factorization


2 251, 826, 826, 987
7 251, 413, 413, 987
59 251, 59, 59, 141
251, 1, 1, 141

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

2 x 7 x 59 x 251 x 1 x 1 x 141 = 29232966

Therefore, the lowest common multiple of 251,826,826,987 is 29232966.

LCM Formula to Find Lowest Common Multiple of 251,826,826,987

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.

251 x 826 x 826 x 987 = 169025009412

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.

251 : 1, 251

826 : 1, 2, 7, 14, 59, 118, 413, 826

826 : 1, 2, 7, 14, 59, 118, 413, 826

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,826,826,987, is 1.

Now, the common factors can be found like this.

251:251

826:2x 7x 59

826:2x 7x 59

987:3x 7x 47

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

2x 7x 7x 59 = 5782

Therefore, the value for common factors is 5782.

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 = 169025009412/(1x5782)

LCM = 169025009412/5782

LCM = 29232966

Thus, we can understand that the LCM of 251,826,826,987 is 29232966.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 826, 826, 987

1. What is the LCM of 251, 826, 826, 987?

Answer: LCM of 251, 826, 826, 987 is 29232966.

2. How to calculate the LCM of 251, 826, 826, 987?

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 251, 826, 826, 987.

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}.