Least Common Multiple of 55/94, 399/78, 231/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/94, 399/78, 231/849 quickly i.e. 21945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/94, 399/78, 231/849 is 21945.

LCM(55/94, 399/78, 231/849) = 21945

LCM of 55/94, 399/78, 231/849

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 55/94,399/78,231/849

Given numbers are 55/94,399/78,231/849

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 55,399,231

Least Common Multiple of Numerators i.e. LCM of 55,399,231 is 21945.

GCF of Denominators means GCF of 94,78,849 as per the given fractions.

GCF of 94,78,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,399,231

LCM of Fractions 55/94,399/78,231/849 is 21945

3 55, 399, 231
7 55, 133, 77
11 55, 19, 11
5, 19, 1

∴ So the LCM of the given numbers is 3 x 7 x 11 x 5 x 19 x 1 = 21945

Least Common Multiple of 55,399,231 with GCF Formula

Least Common Multiple of 55,399,231 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 55,399,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,399,231) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(55,399,231) x common factors =1 x 231 = 231

LCM(55,399,231) = ( 55 × 399 × 231 ) / 231

LCM(55,399,231) = 5069295 / 231

LCM(55,399,231) = 21945


Lets's calculate GCF of 94,78,849

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21945/1

Therefore the LCM of Fractions 55/94,399/78,231/849 is 21945

Greatest Common Factor of 94,78,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,78,849 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 94,78,849 . The biggest common factor number is the GCF number.
So the greatest common factor 94,78,849 is 1.


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 55/94, 399/78, 231/849

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 55/94, 399/78, 231/849?

Answer: LCM of Numerators as per given numbers 55/94, 399/78, 231/849 is

LCM of Numerators i.e. for 55,399,231 is 21945

GCF of denominators i.e. for 94,78,849 is 1.

Thus, LCM of Fractions is 21945.Finally, LCM of Fractions for 55/94, 399/78, 231/849 is 21945.