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LCM of 634, 336, 987, 686, 638

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


Find the LCM of 634, 336, 987, 686, 638 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 634, 336, 987, 686, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,336,987,686,638

Given numbers are 634,336,987,686,638

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

The LCM of 634,336,987,686,638 is 78249786384.

Find LCM of 634,336,987,686,638 with Prime Factorization


2 634, 336, 987, 686, 638
3 317, 168, 987, 343, 319
7 317, 56, 329, 343, 319
317, 8, 47, 49, 319

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

2 x 3 x 7 x 317 x 8 x 47 x 49 x 319 = 78249786384

Therefore, the lowest common multiple of 634,336,987,686,638 is 78249786384.

LCM Formula to Find Lowest Common Multiple of 634,336,987,686,638

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.

634 x 336 x 987 x 686 x 638 = 92021748787584

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.

634 : 1, 2, 317, 634

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

987 : 1, 3, 7, 21, 47, 141, 329, 987

686 : 1, 2, 7, 14, 49, 98, 343, 686

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,336,987,686,638, is 1.

Now, the common factors can be found like this.

634:2x 317

336:2x 2x 2x 2x 3x 7

987:3x 7x 47

686:2x 7x 7x 7

638:2x 11x 29

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 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 92021748787584/(1x1176)

LCM = 92021748787584/1176

LCM = 78249786384

Thus, we can understand that the LCM of 634,336,987,686,638 is 78249786384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 336, 987, 686, 638

1. What is the LCM of 634, 336, 987, 686, 638?

Answer: LCM of 634, 336, 987, 686, 638 is 78249786384.

2. How to calculate the LCM of 634, 336, 987, 686, 638?

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 634, 336, 987, 686, 638.

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}.