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LCM of 484, 280, 834, 129

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


Find the LCM of 484, 280, 834, 129 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, 280, 834, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,280,834,129

Given numbers are 484,280,834,129

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

The LCM of 484,280,834,129 is 607502280.

Find LCM of 484,280,834,129 with Prime Factorization


2 484, 280, 834, 129
2 242, 140, 417, 129
3 121, 70, 417, 129
121, 70, 139, 43

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

2 x 2 x 3 x 121 x 70 x 139 x 43 = 607502280

Therefore, the lowest common multiple of 484,280,834,129 is 607502280.

LCM Formula to Find Lowest Common Multiple of 484,280,834,129

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 280 x 834 x 129 = 14580054720

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

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

834 : 1, 2, 3, 6, 139, 278, 417, 834

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,280,834,129, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

280:2x 2x 2x 5x 7

834:2x 3x 139

129:3x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 14580054720/(1x24)

LCM = 14580054720/24

LCM = 607502280

Thus, we can understand that the LCM of 484,280,834,129 is 607502280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 280, 834, 129

1. What is the LCM of 484, 280, 834, 129?

Answer: LCM of 484, 280, 834, 129 is 607502280.

2. How to calculate the LCM of 484, 280, 834, 129?

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, 280, 834, 129.

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}.