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LCM of 860, 559, 185, 631

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


Find the LCM of 860, 559, 185, 631 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 860, 559, 185, 631. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,559,185,631

Given numbers are 860,559,185,631

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

The LCM of 860,559,185,631 is 261019460.

Find LCM of 860,559,185,631 with Prime Factorization


5 860, 559, 185, 631
43 172, 559, 37, 631
4, 13, 37, 631

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

5 x 43 x 4 x 13 x 37 x 631 = 261019460

Therefore, the lowest common multiple of 860,559,185,631 is 261019460.

LCM Formula to Find Lowest Common Multiple of 860,559,185,631

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.

860 x 559 x 185 x 631 = 56119183900

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

559 : 1, 13, 43, 559

185 : 1, 5, 37, 185

631 : 1, 631

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,559,185,631, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

559:13x 43

185:5x 37

631:631

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

5x 43 = 215

Therefore, the value for common factors is 215.

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 = 56119183900/(1x215)

LCM = 56119183900/215

LCM = 261019460

Thus, we can understand that the LCM of 860,559,185,631 is 261019460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 559, 185, 631

1. What is the LCM of 860, 559, 185, 631?

Answer: LCM of 860, 559, 185, 631 is 261019460.

2. How to calculate the LCM of 860, 559, 185, 631?

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 860, 559, 185, 631.

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}.