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LCM of 344, 226, 544, 815, 220

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


Find the LCM of 344, 226, 544, 815, 220 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 344, 226, 544, 815, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,226,544,815,220

Given numbers are 344,226,544,815,220

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

The LCM of 344,226,544,815,220 is 23697148640.

Find LCM of 344,226,544,815,220 with Prime Factorization


2 344, 226, 544, 815, 220
2 172, 113, 272, 815, 110
2 86, 113, 136, 815, 55
5 43, 113, 68, 815, 55
43, 113, 68, 163, 11

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

2 x 2 x 2 x 5 x 43 x 113 x 68 x 163 x 11 = 23697148640

Therefore, the lowest common multiple of 344,226,544,815,220 is 23697148640.

LCM Formula to Find Lowest Common Multiple of 344,226,544,815,220

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.

344 x 226 x 544 x 815 x 220 = 7583087564800

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

226 : 1, 2, 113, 226

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

815 : 1, 5, 163, 815

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,226,544,815,220, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

226:2x 113

544:2x 2x 2x 2x 2x 17

815:5x 163

220:2x 2x 5x 11

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

2x 2x 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 7583087564800/(1x320)

LCM = 7583087564800/320

LCM = 23697148640

Thus, we can understand that the LCM of 344,226,544,815,220 is 23697148640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 226, 544, 815, 220

1. What is the LCM of 344, 226, 544, 815, 220?

Answer: LCM of 344, 226, 544, 815, 220 is 23697148640.

2. How to calculate the LCM of 344, 226, 544, 815, 220?

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 344, 226, 544, 815, 220.

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}.