Least Common Multiple of 45/68, 17/827, 118/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/68, 17/827, 118/269 quickly i.e. 90270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/68, 17/827, 118/269 is 90270.

LCM(45/68, 17/827, 118/269) = 90270

LCM of 45/68, 17/827, 118/269

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 45/68,17/827,118/269

Given numbers are 45/68,17/827,118/269

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 45,17,118

Least Common Multiple of Numerators i.e. LCM of 45,17,118 is 90270.

GCF of Denominators means GCF of 68,827,269 as per the given fractions.

GCF of 68,827,269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,17,118

LCM of Fractions 45/68,17/827,118/269 is 90270

Given numbers has no common factors except 1. So, there LCM is their product i.e 90270

Least Common Multiple of 45,17,118 with GCF Formula

Least Common Multiple of 45,17,118 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 45,17,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,17,118) = 1

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

GCF(45,17,118) x common factors =1 x 1 = 1

LCM(45,17,118) = ( 45 × 17 × 118 ) / 1

LCM(45,17,118) = 90270 / 1

LCM(45,17,118) = 90270


Lets's calculate GCF of 68,827,269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90270/1

Therefore the LCM of Fractions 45/68,17/827,118/269 is 90270

Greatest Common Factor of 68,827,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,827,269 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 68,827,269 . The biggest common factor number is the GCF number.
So the greatest common factor 68,827,269 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 45/68, 17/827, 118/269

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 45/68, 17/827, 118/269?

Answer: LCM of Numerators as per given numbers 45/68, 17/827, 118/269 is

LCM of Numerators i.e. for 45,17,118 is 90270

GCF of denominators i.e. for 68,827,269 is 1.

Thus, LCM of Fractions is 90270.Finally, LCM of Fractions for 45/68, 17/827, 118/269 is 90270.