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LCM of 461, 815, 121, 461, 555

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


Find the LCM of 461, 815, 121, 461, 555 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 461, 815, 121, 461, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,815,121,461,555

Given numbers are 461,815,121,461,555

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

The LCM of 461,815,121,461,555 is 5046228165.

Find LCM of 461,815,121,461,555 with Prime Factorization


5 461, 815, 121, 461, 555
461 461, 163, 121, 461, 111
1, 163, 121, 1, 111

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

5 x 461 x 1 x 163 x 121 x 1 x 111 = 5046228165

Therefore, the lowest common multiple of 461,815,121,461,555 is 5046228165.

LCM Formula to Find Lowest Common Multiple of 461,815,121,461,555

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.

461 x 815 x 121 x 461 x 555 = 11631555920325

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.

461 : 1, 461

815 : 1, 5, 163, 815

121 : 1, 11, 121

461 : 1, 461

555 : 1, 3, 5, 15, 37, 111, 185, 555

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,815,121,461,555, is 1.

Now, the common factors can be found like this.

461:461

815:5x 163

121:11x 11

461:461

555:3x 5x 37

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

5x 461 = 2305

Therefore, the value for common factors is 2305.

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 = 11631555920325/(1x2305)

LCM = 11631555920325/2305

LCM = 5046228165

Thus, we can understand that the LCM of 461,815,121,461,555 is 5046228165.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 815, 121, 461, 555

1. What is the LCM of 461, 815, 121, 461, 555?

Answer: LCM of 461, 815, 121, 461, 555 is 5046228165.

2. How to calculate the LCM of 461, 815, 121, 461, 555?

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 461, 815, 121, 461, 555.

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}.