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LCM of 382, 353, 353, 357

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


Find the LCM of 382, 353, 353, 357 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 382, 353, 353, 357. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,353,353,357

Given numbers are 382,353,353,357

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

The LCM of 382,353,353,357 is 48140022.

Find LCM of 382,353,353,357 with Prime Factorization


353 382, 353, 353, 357
382, 1, 1, 357

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

353 x 382 x 1 x 1 x 357 = 48140022

Therefore, the lowest common multiple of 382,353,353,357 is 48140022.

LCM Formula to Find Lowest Common Multiple of 382,353,353,357

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.

382 x 353 x 353 x 357 = 16993427766

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.

382 : 1, 2, 191, 382

353 : 1, 353

353 : 1, 353

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,353,353,357, is 1.

Now, the common factors can be found like this.

382:2x 191

353:353

353:353

357:3x 7x 17

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

353 = 353

Therefore, the value for common factors is 353.

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 = 16993427766/(1x353)

LCM = 16993427766/353

LCM = 48140022

Thus, we can understand that the LCM of 382,353,353,357 is 48140022.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 353, 353, 357

1. What is the LCM of 382, 353, 353, 357?

Answer: LCM of 382, 353, 353, 357 is 48140022.

2. How to calculate the LCM of 382, 353, 353, 357?

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 382, 353, 353, 357.

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}.