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LCM of 634, 414, 551, 682

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


Find the LCM of 634, 414, 551, 682 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, 414, 551, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,414,551,682

Given numbers are 634,414,551,682

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

The LCM of 634,414,551,682 is 24658439058.

Find LCM of 634,414,551,682 with Prime Factorization


2 634, 414, 551, 682
317, 207, 551, 341

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

2 x 317 x 207 x 551 x 341 = 24658439058

Therefore, the lowest common multiple of 634,414,551,682 is 24658439058.

LCM Formula to Find Lowest Common Multiple of 634,414,551,682

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 414 x 551 x 682 = 98633756232

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

551 : 1, 19, 29, 551

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,414,551,682, is 1.

Now, the common factors can be found like this.

634:2x 317

414:2x 3x 3x 23

551:19x 29

682:2x 11x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98633756232/(1x4)

LCM = 98633756232/4

LCM = 24658439058

Thus, we can understand that the LCM of 634,414,551,682 is 24658439058.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 414, 551, 682

1. What is the LCM of 634, 414, 551, 682?

Answer: LCM of 634, 414, 551, 682 is 24658439058.

2. How to calculate the LCM of 634, 414, 551, 682?

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, 414, 551, 682.

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}.