Least Common Multiple of 49/66, 23/14, 256/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/66, 23/14, 256/438 quickly i.e. 144256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/66, 23/14, 256/438 is 144256.

LCM(49/66, 23/14, 256/438) = 144256

LCM of 49/66, 23/14, 256/438

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 49/66,23/14,256/438

Given numbers are 49/66,23/14,256/438

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 49,23,256

Least Common Multiple of Numerators i.e. LCM of 49,23,256 is 288512.

GCF of Denominators means GCF of 66,14,438 as per the given fractions.

GCF of 66,14,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,23,256

LCM of Fractions 49/66,23/14,256/438 is 144256

Given numbers has no common factors except 1. So, there LCM is their product i.e 288512

Least Common Multiple of 49,23,256 with GCF Formula

Least Common Multiple of 49,23,256 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 49,23,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,23,256) = 1

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

GCF(49,23,256) x common factors =1 x 1 = 1

LCM(49,23,256) = ( 49 × 23 × 256 ) / 1

LCM(49,23,256) = 288512 / 1

LCM(49,23,256) = 288512


Lets's calculate GCF of 66,14,438

2 66, 14, 438
33, 7, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288512/2

Therefore the LCM of Fractions 49/66,23/14,256/438 is 144256

Greatest Common Factor of 66,14,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,14,438 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 66,14,438 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,438 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 49/66, 23/14, 256/438

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 49/66, 23/14, 256/438?

Answer: LCM of Numerators as per given numbers 49/66, 23/14, 256/438 is

LCM of Numerators i.e. for 49,23,256 is 288512

GCF of denominators i.e. for 66,14,438 is 2.

Thus, LCM of Fractions is 144256.Finally, LCM of Fractions for 49/66, 23/14, 256/438 is 144256.