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LCM of 481, 962, 486, 549

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


Find the LCM of 481, 962, 486, 549 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 481, 962, 486, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 481,962,486,549

Given numbers are 481,962,486,549

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

The LCM of 481,962,486,549 is 14259726.

Find LCM of 481,962,486,549 with Prime Factorization


2 481, 962, 486, 549
3 481, 481, 243, 549
3 481, 481, 81, 183
13 481, 481, 27, 61
37 37, 37, 27, 61
1, 1, 27, 61

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

2 x 3 x 3 x 13 x 37 x 1 x 1 x 27 x 61 = 14259726

Therefore, the lowest common multiple of 481,962,486,549 is 14259726.

LCM Formula to Find Lowest Common Multiple of 481,962,486,549

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.

481 x 962 x 486 x 549 = 123460707708

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.

481 : 1, 13, 37, 481

962 : 1, 2, 13, 26, 37, 74, 481, 962

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,962,486,549, is 1.

Now, the common factors can be found like this.

481:13x 37

962:2x 13x 37

486:2x 3x 3x 3x 3x 3

549:3x 3x 61

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 13x 37 = 8658

Therefore, the value for common factors is 8658.

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 = 123460707708/(1x8658)

LCM = 123460707708/8658

LCM = 14259726

Thus, we can understand that the LCM of 481,962,486,549 is 14259726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 481, 962, 486, 549

1. What is the LCM of 481, 962, 486, 549?

Answer: LCM of 481, 962, 486, 549 is 14259726.

2. How to calculate the LCM of 481, 962, 486, 549?

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 481, 962, 486, 549.

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}.