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LCM of 635, 612, 831, 646, 833

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


Find the LCM of 635, 612, 831, 646, 833 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 635, 612, 831, 646, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,612,831,646,833

Given numbers are 635,612,831,646,833

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

The LCM of 635,612,831,646,833 is 100220045940.

Find LCM of 635,612,831,646,833 with Prime Factorization


2 635, 612, 831, 646, 833
3 635, 306, 831, 323, 833
17 635, 102, 277, 323, 833
635, 6, 277, 19, 49

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

2 x 3 x 17 x 635 x 6 x 277 x 19 x 49 = 100220045940

Therefore, the lowest common multiple of 635,612,831,646,833 is 100220045940.

LCM Formula to Find Lowest Common Multiple of 635,612,831,646,833

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.

635 x 612 x 831 x 646 x 833 = 173781559659960

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.

635 : 1, 5, 127, 635

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

831 : 1, 3, 277, 831

646 : 1, 2, 17, 19, 34, 38, 323, 646

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,612,831,646,833, is 1.

Now, the common factors can be found like this.

635:5x 127

612:2x 2x 3x 3x 17

831:3x 277

646:2x 17x 19

833:7x 7x 17

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

2x 3x 17x 17 = 1734

Therefore, the value for common factors is 1734.

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 = 173781559659960/(1x1734)

LCM = 173781559659960/1734

LCM = 100220045940

Thus, we can understand that the LCM of 635,612,831,646,833 is 100220045940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 612, 831, 646, 833

1. What is the LCM of 635, 612, 831, 646, 833?

Answer: LCM of 635, 612, 831, 646, 833 is 100220045940.

2. How to calculate the LCM of 635, 612, 831, 646, 833?

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 635, 612, 831, 646, 833.

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}.