Least Common Multiple of 221/855, 9252/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/855, 9252/870 quickly i.e. 2044692/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/855, 9252/870 is 2044692/15.

LCM(221/855, 9252/870) = 2044692/15

LCM of 221/855, 9252/870

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 221/855,9252/870

Given numbers are 221/855,9252/870

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 221,9252

Least Common Multiple of Numerators i.e. LCM of 221,9252 is 2044692.

GCF of Denominators means GCF of 855,870 as per the given fractions.

GCF of 855,870 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,9252

LCM of Fractions 221/855,9252/870 is 2044692/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 2044692

Least Common Multiple of 221,9252 with GCF Formula

Least Common Multiple of 221,9252 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 221,9252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,9252) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(221,9252) x common factors =1 x 1 = 1

LCM(221,9252) = ( 221 × 9252 ) / 1

LCM(221,9252) = 2044692 / 1

LCM(221,9252) = 2044692


Lets's calculate GCF of 855,870

3 855, 870
5 285, 290
57, 58

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2044692/15

Therefore the LCM of Fractions 221/855,9252/870 is 2044692/15

Greatest Common Factor of 855,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,870 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

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

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 855,870 . The biggest common factor number is the GCF number.
So the greatest common factor 855,870 is 15.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 221/855, 9252/870

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 221/855, 9252/870?

Answer: LCM of Numerators as per given numbers 221/855, 9252/870 is

LCM of Numerators i.e. for 221,9252 is 2044692

GCF of denominators i.e. for 855,870 is 15.

Thus, LCM of Fractions is 2044692/15.Finally, LCM of Fractions for 221/855, 9252/870 is 2044692/15.