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LCM of 458, 263, 382, 676

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


Find the LCM of 458, 263, 382, 676 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 458, 263, 382, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,263,382,676

Given numbers are 458,263,382,676

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

The LCM of 458,263,382,676 is 7776269332.

Find LCM of 458,263,382,676 with Prime Factorization


2 458, 263, 382, 676
229, 263, 191, 338

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

2 x 229 x 263 x 191 x 338 = 7776269332

Therefore, the lowest common multiple of 458,263,382,676 is 7776269332.

LCM Formula to Find Lowest Common Multiple of 458,263,382,676

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.

458 x 263 x 382 x 676 = 31105077328

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.

458 : 1, 2, 229, 458

263 : 1, 263

382 : 1, 2, 191, 382

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,263,382,676, is 1.

Now, the common factors can be found like this.

458:2x 229

263:263

382:2x 191

676:2x 2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31105077328/(1x4)

LCM = 31105077328/4

LCM = 7776269332

Thus, we can understand that the LCM of 458,263,382,676 is 7776269332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 263, 382, 676

1. What is the LCM of 458, 263, 382, 676?

Answer: LCM of 458, 263, 382, 676 is 7776269332.

2. How to calculate the LCM of 458, 263, 382, 676?

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 458, 263, 382, 676.

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}.