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LCM of 133, 458, 676, 448

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


Find the LCM of 133, 458, 676, 448 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 133, 458, 676, 448. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,458,676,448

Given numbers are 133,458,676,448

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

The LCM of 133,458,676,448 is 329422912.

Find LCM of 133,458,676,448 with Prime Factorization


2 133, 458, 676, 448
2 133, 229, 338, 224
7 133, 229, 169, 112
19, 229, 169, 16

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

2 x 2 x 7 x 19 x 229 x 169 x 16 = 329422912

Therefore, the lowest common multiple of 133,458,676,448 is 329422912.

LCM Formula to Find Lowest Common Multiple of 133,458,676,448

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.

133 x 458 x 676 x 448 = 18447683072

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.

133 : 1, 7, 19, 133

458 : 1, 2, 229, 458

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,458,676,448, is 1.

Now, the common factors can be found like this.

133:7x 19

458:2x 229

676:2x 2x 13x 13

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

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 7 = 56

Therefore, the value for common factors is 56.

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 = 18447683072/(1x56)

LCM = 18447683072/56

LCM = 329422912

Thus, we can understand that the LCM of 133,458,676,448 is 329422912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 458, 676, 448

1. What is the LCM of 133, 458, 676, 448?

Answer: LCM of 133, 458, 676, 448 is 329422912.

2. How to calculate the LCM of 133, 458, 676, 448?

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 133, 458, 676, 448.

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}.