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LCM of 484, 828, 131, 237

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


Find the LCM of 484, 828, 131, 237 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, 828, 131, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,828,131,237

Given numbers are 484,828,131,237

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

The LCM of 484,828,131,237 is 1036845612.

Find LCM of 484,828,131,237 with Prime Factorization


2 484, 828, 131, 237
2 242, 414, 131, 237
3 121, 207, 131, 237
121, 69, 131, 79

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

2 x 2 x 3 x 121 x 69 x 131 x 79 = 1036845612

Therefore, the lowest common multiple of 484,828,131,237 is 1036845612.

LCM Formula to Find Lowest Common Multiple of 484,828,131,237

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 828 x 131 x 237 = 12442147344

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

131 : 1, 131

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,828,131,237, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

828:2x 2x 3x 3x 23

131:131

237:3x 79

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 3 = 12

Therefore, the value for common factors is 12.

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 = 12442147344/(1x12)

LCM = 12442147344/12

LCM = 1036845612

Thus, we can understand that the LCM of 484,828,131,237 is 1036845612.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 828, 131, 237

1. What is the LCM of 484, 828, 131, 237?

Answer: LCM of 484, 828, 131, 237 is 1036845612.

2. How to calculate the LCM of 484, 828, 131, 237?

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, 828, 131, 237.

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}.