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LCM of 462, 441, 924, 743, 379

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


Find the LCM of 462, 441, 924, 743, 379 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 462, 441, 924, 743, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,441,924,743,379

Given numbers are 462,441,924,743,379

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

The LCM of 462,441,924,743,379 is 5464108188.

Find LCM of 462,441,924,743,379 with Prime Factorization


2 462, 441, 924, 743, 379
3 231, 441, 462, 743, 379
7 77, 147, 154, 743, 379
11 11, 21, 22, 743, 379
1, 21, 2, 743, 379

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

2 x 3 x 7 x 11 x 1 x 21 x 2 x 743 x 379 = 5464108188

Therefore, the lowest common multiple of 462,441,924,743,379 is 5464108188.

LCM Formula to Find Lowest Common Multiple of 462,441,924,743,379

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.

462 x 441 x 924 x 743 x 379 = 53012777639976

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

743 : 1, 743

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,441,924,743,379, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

441:3x 3x 7x 7

924:2x 2x 3x 7x 11

743:743

379:379

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

2x 3x 3x 7x 7x 11 = 9702

Therefore, the value for common factors is 9702.

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 = 53012777639976/(1x9702)

LCM = 53012777639976/9702

LCM = 5464108188

Thus, we can understand that the LCM of 462,441,924,743,379 is 5464108188.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 441, 924, 743, 379

1. What is the LCM of 462, 441, 924, 743, 379?

Answer: LCM of 462, 441, 924, 743, 379 is 5464108188.

2. How to calculate the LCM of 462, 441, 924, 743, 379?

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 462, 441, 924, 743, 379.

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}.