LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 855, 902, 649, 502, 505

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


Find the LCM of 855, 902, 649, 502, 505 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 855, 902, 649, 502, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 855,902,649,502,505

Given numbers are 855,902,649,502,505

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

The LCM of 855,902,649,502,505 is 1153505737890.

Find LCM of 855,902,649,502,505 with Prime Factorization


2 855, 902, 649, 502, 505
5 855, 451, 649, 251, 505
11 171, 451, 649, 251, 101
171, 41, 59, 251, 101

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

2 x 5 x 11 x 171 x 41 x 59 x 251 x 101 = 1153505737890

Therefore, the lowest common multiple of 855,902,649,502,505 is 1153505737890.

LCM Formula to Find Lowest Common Multiple of 855,902,649,502,505

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.

855 x 902 x 649 x 502 x 505 = 126885631167900

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

902 : 1, 2, 11, 22, 41, 82, 451, 902

649 : 1, 11, 59, 649

502 : 1, 2, 251, 502

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,902,649,502,505, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

902:2x 11x 41

649:11x 59

502:2x 251

505:5x 101

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 126885631167900/(1x110)

LCM = 126885631167900/110

LCM = 1153505737890

Thus, we can understand that the LCM of 855,902,649,502,505 is 1153505737890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 855, 902, 649, 502, 505

1. What is the LCM of 855, 902, 649, 502, 505?

Answer: LCM of 855, 902, 649, 502, 505 is 1153505737890.

2. How to calculate the LCM of 855, 902, 649, 502, 505?

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 855, 902, 649, 502, 505.

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}.