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LCM of 484, 722, 726, 892

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


Find the LCM of 484, 722, 726, 892 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 484, 722, 726, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,722,726,892

Given numbers are 484,722,726,892

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

The LCM of 484,722,726,892 is 116890356.

Find LCM of 484,722,726,892 with Prime Factorization


2 484, 722, 726, 892
2 242, 361, 363, 446
11 121, 361, 363, 223
11 11, 361, 33, 223
1, 361, 3, 223

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

2 x 2 x 11 x 11 x 1 x 361 x 3 x 223 = 116890356

Therefore, the lowest common multiple of 484,722,726,892 is 116890356.

LCM Formula to Find Lowest Common Multiple of 484,722,726,892

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.

484 x 722 x 726 x 892 = 226299729216

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

722 : 1, 2, 19, 38, 361, 722

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

892 : 1, 2, 4, 223, 446, 892

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,722,726,892, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

722:2x 19x 19

726:2x 3x 11x 11

892:2x 2x 223

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 226299729216/(2x968)

LCM = 226299729216/1936

LCM = 116890356

Thus, we can understand that the LCM of 484,722,726,892 is 116890356.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 722, 726, 892

1. What is the LCM of 484, 722, 726, 892?

Answer: LCM of 484, 722, 726, 892 is 116890356.

2. How to calculate the LCM of 484, 722, 726, 892?

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 484, 722, 726, 892.

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}.