Least Common Multiple of 918/882, 2235/3144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/882, 2235/3144 quickly i.e. 113985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/882, 2235/3144 is 113985.

LCM(918/882, 2235/3144) = 113985

LCM of 918/882, 2235/3144

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 918/882,2235/3144

Given numbers are 918/882,2235/3144

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 918,2235

Least Common Multiple of Numerators i.e. LCM of 918,2235 is 683910.

GCF of Denominators means GCF of 882,3144 as per the given fractions.

GCF of 882,3144 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,2235

LCM of Fractions 918/882,2235/3144 is 113985

3 918, 2235
306, 745

∴ So the LCM of the given numbers is 3 x 306 x 745 = 683910

Least Common Multiple of 918,2235 with GCF Formula

Least Common Multiple of 918,2235 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 918,2235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,2235) = 3

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

GCF(918,2235) x common factors =3 x 1 = 3

LCM(918,2235) = ( 918 × 2235 ) / 3

LCM(918,2235) = 2051730 / 3

LCM(918,2235) = 683910


Lets's calculate GCF of 882,3144

2 882, 3144
3 441, 1572
147, 524

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683910/6

Therefore the LCM of Fractions 918/882,2235/3144 is 113985

Greatest Common Factor of 882,3144 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,3144 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144

Greatest Common Factor

We found the factors 882,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 882,3144 is 6.


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 918/882, 2235/3144

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 918/882, 2235/3144?

Answer: LCM of Numerators as per given numbers 918/882, 2235/3144 is

LCM of Numerators i.e. for 918,2235 is 683910

GCF of denominators i.e. for 882,3144 is 6.

Thus, LCM of Fractions is 113985.Finally, LCM of Fractions for 918/882, 2235/3144 is 113985.