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LCM of 815, 236, 354, 383

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


Find the LCM of 815, 236, 354, 383 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 815, 236, 354, 383. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 815,236,354,383

Given numbers are 815,236,354,383

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

The LCM of 815,236,354,383 is 220998660.

Find LCM of 815,236,354,383 with Prime Factorization


2 815, 236, 354, 383
59 815, 118, 177, 383
815, 2, 3, 383

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

2 x 59 x 815 x 2 x 3 x 383 = 220998660

Therefore, the lowest common multiple of 815,236,354,383 is 220998660.

LCM Formula to Find Lowest Common Multiple of 815,236,354,383

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.

815 x 236 x 354 x 383 = 26077841880

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.

815 : 1, 5, 163, 815

236 : 1, 2, 4, 59, 118, 236

354 : 1, 2, 3, 6, 59, 118, 177, 354

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,236,354,383, is 1.

Now, the common factors can be found like this.

815:5x 163

236:2x 2x 59

354:2x 3x 59

383:383

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 26077841880/(1x118)

LCM = 26077841880/118

LCM = 220998660

Thus, we can understand that the LCM of 815,236,354,383 is 220998660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 815, 236, 354, 383

1. What is the LCM of 815, 236, 354, 383?

Answer: LCM of 815, 236, 354, 383 is 220998660.

2. How to calculate the LCM of 815, 236, 354, 383?

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 815, 236, 354, 383.

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}.