Least Common Multiple of 27/44, 688/91, 407/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/44, 688/91, 407/302 quickly i.e. 7560432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/44, 688/91, 407/302 is 7560432.

LCM(27/44, 688/91, 407/302) = 7560432

LCM of 27/44, 688/91, 407/302

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 27/44,688/91,407/302

Given numbers are 27/44,688/91,407/302

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 27,688,407

Least Common Multiple of Numerators i.e. LCM of 27,688,407 is 7560432.

GCF of Denominators means GCF of 44,91,302 as per the given fractions.

GCF of 44,91,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,688,407

LCM of Fractions 27/44,688/91,407/302 is 7560432

Given numbers has no common factors except 1. So, there LCM is their product i.e 7560432

Least Common Multiple of 27,688,407 with GCF Formula

Least Common Multiple of 27,688,407 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 27,688,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,688,407) = 1

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

GCF(27,688,407) x common factors =1 x 1 = 1

LCM(27,688,407) = ( 27 × 688 × 407 ) / 1

LCM(27,688,407) = 7560432 / 1

LCM(27,688,407) = 7560432


Lets's calculate GCF of 44,91,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560432/1

Therefore the LCM of Fractions 27/44,688/91,407/302 is 7560432

Greatest Common Factor of 44,91,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,91,302 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 44,91,302 . The biggest common factor number is the GCF number.
So the greatest common factor 44,91,302 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 27/44, 688/91, 407/302

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 27/44, 688/91, 407/302?

Answer: LCM of Numerators as per given numbers 27/44, 688/91, 407/302 is

LCM of Numerators i.e. for 27,688,407 is 7560432

GCF of denominators i.e. for 44,91,302 is 1.

Thus, LCM of Fractions is 7560432.Finally, LCM of Fractions for 27/44, 688/91, 407/302 is 7560432.