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LCM of 632, 370, 164, 383, 982

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


Find the LCM of 632, 370, 164, 383, 982 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 632, 370, 164, 383, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,370,164,383,982

Given numbers are 632,370,164,383,982

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

The LCM of 632,370,164,383,982 is 901473427160.

Find LCM of 632,370,164,383,982 with Prime Factorization


2 632, 370, 164, 383, 982
2 316, 185, 82, 383, 491
158, 185, 41, 383, 491

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

2 x 2 x 158 x 185 x 41 x 383 x 491 = 901473427160

Therefore, the lowest common multiple of 632,370,164,383,982 is 901473427160.

LCM Formula to Find Lowest Common Multiple of 632,370,164,383,982

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.

632 x 370 x 164 x 383 x 982 = 14423574834560

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

370 : 1, 2, 5, 10, 37, 74, 185, 370

164 : 1, 2, 4, 41, 82, 164

383 : 1, 383

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,370,164,383,982, is 1.

Now, the common factors can be found like this.

632:2x 2x 2x 79

370:2x 5x 37

164:2x 2x 41

383:383

982:2x 491

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14423574834560/(1x16)

LCM = 14423574834560/16

LCM = 901473427160

Thus, we can understand that the LCM of 632,370,164,383,982 is 901473427160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 370, 164, 383, 982

1. What is the LCM of 632, 370, 164, 383, 982?

Answer: LCM of 632, 370, 164, 383, 982 is 901473427160.

2. How to calculate the LCM of 632, 370, 164, 383, 982?

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 632, 370, 164, 383, 982.

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}.