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LCM of 553, 762, 494, 637

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


Find the LCM of 553, 762, 494, 637 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 553, 762, 494, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,762,494,637

Given numbers are 553,762,494,637

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

The LCM of 553,762,494,637 is 728576394.

Find LCM of 553,762,494,637 with Prime Factorization


2 553, 762, 494, 637
7 553, 381, 247, 637
13 79, 381, 247, 91
79, 381, 19, 7

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

2 x 7 x 13 x 79 x 381 x 19 x 7 = 728576394

Therefore, the lowest common multiple of 553,762,494,637 is 728576394.

LCM Formula to Find Lowest Common Multiple of 553,762,494,637

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.

553 x 762 x 494 x 637 = 132600903708

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.

553 : 1, 7, 79, 553

762 : 1, 2, 3, 6, 127, 254, 381, 762

494 : 1, 2, 13, 19, 26, 38, 247, 494

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,762,494,637, is 1.

Now, the common factors can be found like this.

553:7x 79

762:2x 3x 127

494:2x 13x 19

637:7x 7x 13

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 13 = 182

Therefore, the value for common factors is 182.

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 = 132600903708/(1x182)

LCM = 132600903708/182

LCM = 728576394

Thus, we can understand that the LCM of 553,762,494,637 is 728576394.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 762, 494, 637

1. What is the LCM of 553, 762, 494, 637?

Answer: LCM of 553, 762, 494, 637 is 728576394.

2. How to calculate the LCM of 553, 762, 494, 637?

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 553, 762, 494, 637.

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}.