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LCM of 881, 687, 635, 649, 920

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


Find the LCM of 881, 687, 635, 649, 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 881, 687, 635, 649, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,687,635,649,920

Given numbers are 881,687,635,649,920

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

The LCM of 881,687,635,649,920 is 45895371602520.

Find LCM of 881,687,635,649,920 with Prime Factorization


5 881, 687, 635, 649, 920
881, 687, 127, 649, 184

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

5 x 881 x 687 x 127 x 649 x 184 = 45895371602520

Therefore, the lowest common multiple of 881,687,635,649,920 is 45895371602520.

LCM Formula to Find Lowest Common Multiple of 881,687,635,649,920

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.

881 x 687 x 635 x 649 x 920 = 229476858012600

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.

881 : 1, 881

687 : 1, 3, 229, 687

635 : 1, 5, 127, 635

649 : 1, 11, 59, 649

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 881,687,635,649,920, is 1.

Now, the common factors can be found like this.

881:881

687:3x 229

635:5x 127

649:11x 59

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 229476858012600/(1x5)

LCM = 229476858012600/5

LCM = 45895371602520

Thus, we can understand that the LCM of 881,687,635,649,920 is 45895371602520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 687, 635, 649, 920

1. What is the LCM of 881, 687, 635, 649, 920?

Answer: LCM of 881, 687, 635, 649, 920 is 45895371602520.

2. How to calculate the LCM of 881, 687, 635, 649, 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 881, 687, 635, 649, 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}.