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LCM of 835, 668, 642, 684, 920

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


Find the LCM of 835, 668, 642, 684, 920 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 835, 668, 642, 684, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,668,642,684,920

Given numbers are 835,668,642,684,920

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

The LCM of 835,668,642,684,920 is 2811151080.

Find LCM of 835,668,642,684,920 with Prime Factorization


2 835, 668, 642, 684, 920
2 835, 334, 321, 342, 460
3 835, 167, 321, 171, 230
5 835, 167, 107, 57, 230
167 167, 167, 107, 57, 46
1, 1, 107, 57, 46

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

2 x 2 x 3 x 5 x 167 x 1 x 1 x 107 x 57 x 46 = 2811151080

Therefore, the lowest common multiple of 835,668,642,684,920 is 2811151080.

LCM Formula to Find Lowest Common Multiple of 835,668,642,684,920

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.

835 x 668 x 642 x 684 x 920 = 225341870572800

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.

835 : 1, 5, 167, 835

668 : 1, 2, 4, 167, 334, 668

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,668,642,684,920, is 1.

Now, the common factors can be found like this.

835:5x 167

668:2x 2x 167

642:2x 3x 107

684:2x 2x 3x 3x 19

920:2x 2x 2x 5x 23

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 2x 2x 3x 5x 167 = 80160

Therefore, the value for common factors is 80160.

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 = 225341870572800/(1x80160)

LCM = 225341870572800/80160

LCM = 2811151080

Thus, we can understand that the LCM of 835,668,642,684,920 is 2811151080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 668, 642, 684, 920

1. What is the LCM of 835, 668, 642, 684, 920?

Answer: LCM of 835, 668, 642, 684, 920 is 2811151080.

2. How to calculate the LCM of 835, 668, 642, 684, 920?

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 835, 668, 642, 684, 920.

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}.