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LCM of 920, 132, 484, 872

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


Find the LCM of 920, 132, 484, 872 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 920, 132, 484, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,132,484,872

Given numbers are 920,132,484,872

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

The LCM of 920,132,484,872 is 36401640.

Find LCM of 920,132,484,872 with Prime Factorization


2 920, 132, 484, 872
2 460, 66, 242, 436
2 230, 33, 121, 218
11 115, 33, 121, 109
115, 3, 11, 109

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

2 x 2 x 2 x 11 x 115 x 3 x 11 x 109 = 36401640

Therefore, the lowest common multiple of 920,132,484,872 is 36401640.

LCM Formula to Find Lowest Common Multiple of 920,132,484,872

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.

920 x 132 x 484 x 872 = 51253509120

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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

872 : 1, 2, 4, 8, 109, 218, 436, 872

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,132,484,872, is 4.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

132:2x 2x 3x 11

484:2x 2x 11x 11

872:2x 2x 2x 109

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 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 51253509120/(4x352)

LCM = 51253509120/1408

LCM = 36401640

Thus, we can understand that the LCM of 920,132,484,872 is 36401640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 132, 484, 872

1. What is the LCM of 920, 132, 484, 872?

Answer: LCM of 920, 132, 484, 872 is 36401640.

2. How to calculate the LCM of 920, 132, 484, 872?

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 920, 132, 484, 872.

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}.