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LCM of 726, 582, 988, 228

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


Find the LCM of 726, 582, 988, 228 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 726, 582, 988, 228. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,582,988,228

Given numbers are 726,582,988,228

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

The LCM of 726,582,988,228 is 34788468.

Find LCM of 726,582,988,228 with Prime Factorization


2 726, 582, 988, 228
2 363, 291, 494, 114
3 363, 291, 247, 57
19 121, 97, 247, 19
121, 97, 13, 1

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

2 x 2 x 3 x 19 x 121 x 97 x 13 x 1 = 34788468

Therefore, the lowest common multiple of 726,582,988,228 is 34788468.

LCM Formula to Find Lowest Common Multiple of 726,582,988,228

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.

726 x 582 x 988 x 228 = 95181248448

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

582 : 1, 2, 3, 6, 97, 194, 291, 582

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,582,988,228, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

582:2x 3x 97

988:2x 2x 13x 19

228:2x 2x 3x 19

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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 95181248448/(2x1368)

LCM = 95181248448/2736

LCM = 34788468

Thus, we can understand that the LCM of 726,582,988,228 is 34788468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 582, 988, 228

1. What is the LCM of 726, 582, 988, 228?

Answer: LCM of 726, 582, 988, 228 is 34788468.

2. How to calculate the LCM of 726, 582, 988, 228?

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 726, 582, 988, 228.

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}.