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LCM of 258, 856, 622, 630

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


Find the LCM of 258, 856, 622, 630 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 258, 856, 622, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,856,622,630

Given numbers are 258,856,622,630

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

The LCM of 258,856,622,630 is 3605895720.

Find LCM of 258,856,622,630 with Prime Factorization


2 258, 856, 622, 630
3 129, 428, 311, 315
43, 428, 311, 105

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

2 x 3 x 43 x 428 x 311 x 105 = 3605895720

Therefore, the lowest common multiple of 258,856,622,630 is 3605895720.

LCM Formula to Find Lowest Common Multiple of 258,856,622,630

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.

258 x 856 x 622 x 630 = 86541497280

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

856 : 1, 2, 4, 8, 107, 214, 428, 856

622 : 1, 2, 311, 622

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,856,622,630, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

856:2x 2x 2x 107

622:2x 311

630:2x 3x 3x 5x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 86541497280/(2x12)

LCM = 86541497280/24

LCM = 3605895720

Thus, we can understand that the LCM of 258,856,622,630 is 3605895720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 856, 622, 630

1. What is the LCM of 258, 856, 622, 630?

Answer: LCM of 258, 856, 622, 630 is 3605895720.

2. How to calculate the LCM of 258, 856, 622, 630?

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 258, 856, 622, 630.

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}.