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LCM of 812, 743, 637, 551, 406

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


Find the LCM of 812, 743, 637, 551, 406 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 812, 743, 637, 551, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,743,637,551,406

Given numbers are 812,743,637,551,406

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

The LCM of 812,743,637,551,406 is 1043133364.

Find LCM of 812,743,637,551,406 with Prime Factorization


2 812, 743, 637, 551, 406
7 406, 743, 637, 551, 203
29 58, 743, 91, 551, 29
2, 743, 91, 19, 1

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

2 x 7 x 29 x 2 x 743 x 91 x 19 x 1 = 1043133364

Therefore, the lowest common multiple of 812,743,637,551,406 is 1043133364.

LCM Formula to Find Lowest Common Multiple of 812,743,637,551,406

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.

812 x 743 x 637 x 551 x 406 = 85972965594152

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

743 : 1, 743

637 : 1, 7, 13, 49, 91, 637

551 : 1, 19, 29, 551

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,743,637,551,406, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

743:743

637:7x 7x 13

551:19x 29

406:2x 7x 29

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 29x 29 = 82418

Therefore, the value for common factors is 82418.

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 = 85972965594152/(1x82418)

LCM = 85972965594152/82418

LCM = 1043133364

Thus, we can understand that the LCM of 812,743,637,551,406 is 1043133364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 743, 637, 551, 406

1. What is the LCM of 812, 743, 637, 551, 406?

Answer: LCM of 812, 743, 637, 551, 406 is 1043133364.

2. How to calculate the LCM of 812, 743, 637, 551, 406?

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 812, 743, 637, 551, 406.

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}.