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LCM of 418, 638, 551, 248, 810

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


Find the LCM of 418, 638, 551, 248, 810 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 418, 638, 551, 248, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,638,551,248,810

Given numbers are 418,638,551,248,810

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

The LCM of 418,638,551,248,810 is 608766840.

Find LCM of 418,638,551,248,810 with Prime Factorization


2 418, 638, 551, 248, 810
11 209, 319, 551, 124, 405
19 19, 29, 551, 124, 405
29 1, 29, 29, 124, 405
1, 1, 1, 124, 405

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

2 x 11 x 19 x 29 x 1 x 1 x 1 x 124 x 405 = 608766840

Therefore, the lowest common multiple of 418,638,551,248,810 is 608766840.

LCM Formula to Find Lowest Common Multiple of 418,638,551,248,810

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.

418 x 638 x 551 x 248 x 810 = 29517886537920

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

638 : 1, 2, 11, 22, 29, 58, 319, 638

551 : 1, 19, 29, 551

248 : 1, 2, 4, 8, 31, 62, 124, 248

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,638,551,248,810, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

638:2x 11x 29

551:19x 29

248:2x 2x 2x 31

810:2x 3x 3x 3x 3x 5

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 11x 19x 29 = 48488

Therefore, the value for common factors is 48488.

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 = 29517886537920/(1x48488)

LCM = 29517886537920/48488

LCM = 608766840

Thus, we can understand that the LCM of 418,638,551,248,810 is 608766840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 638, 551, 248, 810

1. What is the LCM of 418, 638, 551, 248, 810?

Answer: LCM of 418, 638, 551, 248, 810 is 608766840.

2. How to calculate the LCM of 418, 638, 551, 248, 810?

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 418, 638, 551, 248, 810.

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}.