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LCM of 132, 507, 448, 495

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


Find the LCM of 132, 507, 448, 495 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 132, 507, 448, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 132,507,448,495

Given numbers are 132,507,448,495

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

The LCM of 132,507,448,495 is 37477440.

Find LCM of 132,507,448,495 with Prime Factorization


2 132, 507, 448, 495
2 66, 507, 224, 495
3 33, 507, 112, 495
11 11, 169, 112, 165
1, 169, 112, 15

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

2 x 2 x 3 x 11 x 1 x 169 x 112 x 15 = 37477440

Therefore, the lowest common multiple of 132,507,448,495 is 37477440.

LCM Formula to Find Lowest Common Multiple of 132,507,448,495

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.

132 x 507 x 448 x 495 = 14841066240

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.

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

507 : 1, 3, 13, 39, 169, 507

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,507,448,495, is 1.

Now, the common factors can be found like this.

132:2x 2x 3x 11

507:3x 13x 13

448:2x 2x 2x 2x 2x 2x 7

495:3x 3x 5x 11

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 14841066240/(1x396)

LCM = 14841066240/396

LCM = 37477440

Thus, we can understand that the LCM of 132,507,448,495 is 37477440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 132, 507, 448, 495

1. What is the LCM of 132, 507, 448, 495?

Answer: LCM of 132, 507, 448, 495 is 37477440.

2. How to calculate the LCM of 132, 507, 448, 495?

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 132, 507, 448, 495.

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}.