Least Common Multiple of 323/94, 814/44, 295/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 323/94, 814/44, 295/21 quickly i.e. 77561990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 323/94, 814/44, 295/21 is 77561990.

LCM(323/94, 814/44, 295/21) = 77561990

LCM of 323/94, 814/44, 295/21

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 323/94,814/44,295/21

Given numbers are 323/94,814/44,295/21

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 323,814,295

Least Common Multiple of Numerators i.e. LCM of 323,814,295 is 77561990.

GCF of Denominators means GCF of 94,44,21 as per the given fractions.

GCF of 94,44,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 323,814,295

LCM of Fractions 323/94,814/44,295/21 is 77561990

Given numbers has no common factors except 1. So, there LCM is their product i.e 77561990

Least Common Multiple of 323,814,295 with GCF Formula

Least Common Multiple of 323,814,295 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 323,814,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,814,295) = 1

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

GCF(323,814,295) x common factors =1 x 1 = 1

LCM(323,814,295) = ( 323 × 814 × 295 ) / 1

LCM(323,814,295) = 77561990 / 1

LCM(323,814,295) = 77561990


Lets's calculate GCF of 94,44,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77561990/1

Therefore the LCM of Fractions 323/94,814/44,295/21 is 77561990

Greatest Common Factor of 94,44,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,44,21 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 94,44,21 . The biggest common factor number is the GCF number.
So the greatest common factor 94,44,21 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 323/94, 814/44, 295/21

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 323/94, 814/44, 295/21?

Answer: LCM of Numerators as per given numbers 323/94, 814/44, 295/21 is

LCM of Numerators i.e. for 323,814,295 is 77561990

GCF of denominators i.e. for 94,44,21 is 1.

Thus, LCM of Fractions is 77561990.Finally, LCM of Fractions for 323/94, 814/44, 295/21 is 77561990.