Least Common Multiple of 55/32, 68/676, 293/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/32, 68/676, 293/394 quickly i.e. 547910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/32, 68/676, 293/394 is 547910.

LCM(55/32, 68/676, 293/394) = 547910

LCM of 55/32, 68/676, 293/394

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 55/32,68/676,293/394

Given numbers are 55/32,68/676,293/394

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 55,68,293

Least Common Multiple of Numerators i.e. LCM of 55,68,293 is 1095820.

GCF of Denominators means GCF of 32,676,394 as per the given fractions.

GCF of 32,676,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,68,293

LCM of Fractions 55/32,68/676,293/394 is 547910

Given numbers has no common factors except 1. So, there LCM is their product i.e 1095820

Least Common Multiple of 55,68,293 with GCF Formula

Least Common Multiple of 55,68,293 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 55,68,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,68,293) = 1

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

GCF(55,68,293) x common factors =1 x 1 = 1

LCM(55,68,293) = ( 55 × 68 × 293 ) / 1

LCM(55,68,293) = 1095820 / 1

LCM(55,68,293) = 1095820


Lets's calculate GCF of 32,676,394

2 32, 676, 394
16, 338, 197

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1095820/2

Therefore the LCM of Fractions 55/32,68/676,293/394 is 547910

Greatest Common Factor of 32,676,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,676,394 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 32,676,394 . The biggest common factor number is the GCF number.
So the greatest common factor 32,676,394 is 2.


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 55/32, 68/676, 293/394

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 55/32, 68/676, 293/394?

Answer: LCM of Numerators as per given numbers 55/32, 68/676, 293/394 is

LCM of Numerators i.e. for 55,68,293 is 1095820

GCF of denominators i.e. for 32,676,394 is 2.

Thus, LCM of Fractions is 547910.Finally, LCM of Fractions for 55/32, 68/676, 293/394 is 547910.