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LCM of 988, 260, 642, 321

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


Find the LCM of 988, 260, 642, 321 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 988, 260, 642, 321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,260,642,321

Given numbers are 988,260,642,321

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

The LCM of 988,260,642,321 is 1585740.

Find LCM of 988,260,642,321 with Prime Factorization


2 988, 260, 642, 321
2 494, 130, 321, 321
3 247, 65, 321, 321
13 247, 65, 107, 107
107 19, 5, 107, 107
19, 5, 1, 1

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

2 x 2 x 3 x 13 x 107 x 19 x 5 x 1 x 1 = 1585740

Therefore, the lowest common multiple of 988,260,642,321 is 1585740.

LCM Formula to Find Lowest Common Multiple of 988,260,642,321

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.

988 x 260 x 642 x 321 = 52938344160

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

642 : 1, 2, 3, 6, 107, 214, 321, 642

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,260,642,321, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

260:2x 2x 5x 13

642:2x 3x 107

321:3x 107

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 3x 13x 107 = 33384

Therefore, the value for common factors is 33384.

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 = 52938344160/(1x33384)

LCM = 52938344160/33384

LCM = 1585740

Thus, we can understand that the LCM of 988,260,642,321 is 1585740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 260, 642, 321

1. What is the LCM of 988, 260, 642, 321?

Answer: LCM of 988, 260, 642, 321 is 1585740.

2. How to calculate the LCM of 988, 260, 642, 321?

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 988, 260, 642, 321.

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}.