Least Common Multiple of 45/82, 92/77, 339/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/82, 92/77, 339/305 quickly i.e. 467820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/82, 92/77, 339/305 is 467820.

LCM(45/82, 92/77, 339/305) = 467820

LCM of 45/82, 92/77, 339/305

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 45/82,92/77,339/305

Given numbers are 45/82,92/77,339/305

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 45,92,339

Least Common Multiple of Numerators i.e. LCM of 45,92,339 is 467820.

GCF of Denominators means GCF of 82,77,305 as per the given fractions.

GCF of 82,77,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,92,339

LCM of Fractions 45/82,92/77,339/305 is 467820

3 45, 92, 339
15, 92, 113

∴ So the LCM of the given numbers is 3 x 15 x 92 x 113 = 467820

Least Common Multiple of 45,92,339 with GCF Formula

Least Common Multiple of 45,92,339 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 45,92,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,92,339) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,92,339) x common factors =1 x 3 = 3

LCM(45,92,339) = ( 45 × 92 × 339 ) / 3

LCM(45,92,339) = 1403460 / 3

LCM(45,92,339) = 467820


Lets's calculate GCF of 82,77,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467820/1

Therefore the LCM of Fractions 45/82,92/77,339/305 is 467820

Greatest Common Factor of 82,77,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,77,305 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 82,77,305 . The biggest common factor number is the GCF number.
So the greatest common factor 82,77,305 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 45/82, 92/77, 339/305

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 45/82, 92/77, 339/305?

Answer: LCM of Numerators as per given numbers 45/82, 92/77, 339/305 is

LCM of Numerators i.e. for 45,92,339 is 467820

GCF of denominators i.e. for 82,77,305 is 1.

Thus, LCM of Fractions is 467820.Finally, LCM of Fractions for 45/82, 92/77, 339/305 is 467820.