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LCM of 220, 748, 911, 104

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


Find the LCM of 220, 748, 911, 104 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 220, 748, 911, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,748,911,104

Given numbers are 220,748,911,104

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

The LCM of 220,748,911,104 is 88585640.

Find LCM of 220,748,911,104 with Prime Factorization


2 220, 748, 911, 104
2 110, 374, 911, 52
11 55, 187, 911, 26
5, 17, 911, 26

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

2 x 2 x 11 x 5 x 17 x 911 x 26 = 88585640

Therefore, the lowest common multiple of 220,748,911,104 is 88585640.

LCM Formula to Find Lowest Common Multiple of 220,748,911,104

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.

220 x 748 x 911 x 104 = 15591072640

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.

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

911 : 1, 911

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,748,911,104, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

748:2x 2x 11x 17

911:911

104:2x 2x 2x 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 2x 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 15591072640/(1x176)

LCM = 15591072640/176

LCM = 88585640

Thus, we can understand that the LCM of 220,748,911,104 is 88585640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 748, 911, 104

1. What is the LCM of 220, 748, 911, 104?

Answer: LCM of 220, 748, 911, 104 is 88585640.

2. How to calculate the LCM of 220, 748, 911, 104?

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 220, 748, 911, 104.

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}.