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LCM of 383, 362, 989, 371, 724

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


Find the LCM of 383, 362, 989, 371, 724 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 383, 362, 989, 371, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 383,362,989,371,724

Given numbers are 383,362,989,371,724

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

The LCM of 383,362,989,371,724 is 101743703348.

Find LCM of 383,362,989,371,724 with Prime Factorization


2 383, 362, 989, 371, 724
181 383, 181, 989, 371, 362
383, 1, 989, 371, 2

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

2 x 181 x 383 x 1 x 989 x 371 x 2 = 101743703348

Therefore, the lowest common multiple of 383,362,989,371,724 is 101743703348.

LCM Formula to Find Lowest Common Multiple of 383,362,989,371,724

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.

383 x 362 x 989 x 371 x 724 = 36831220611976

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.

383 : 1, 383

362 : 1, 2, 181, 362

989 : 1, 23, 43, 989

371 : 1, 7, 53, 371

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,362,989,371,724, is 1.

Now, the common factors can be found like this.

383:383

362:2x 181

989:23x 43

371:7x 53

724:2x 2x 181

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

2x 181 = 362

Therefore, the value for common factors is 362.

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 = 36831220611976/(1x362)

LCM = 36831220611976/362

LCM = 101743703348

Thus, we can understand that the LCM of 383,362,989,371,724 is 101743703348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 383, 362, 989, 371, 724

1. What is the LCM of 383, 362, 989, 371, 724?

Answer: LCM of 383, 362, 989, 371, 724 is 101743703348.

2. How to calculate the LCM of 383, 362, 989, 371, 724?

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 383, 362, 989, 371, 724.

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}.