Least Common Multiple of 141/274, 3800/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 141/274, 3800/256 quickly i.e. 267900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/274, 3800/256 is 267900.

LCM(141/274, 3800/256) = 267900

LCM of 141/274, 3800/256

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 141/274,3800/256

Given numbers are 141/274,3800/256

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 141,3800

Least Common Multiple of Numerators i.e. LCM of 141,3800 is 535800.

GCF of Denominators means GCF of 274,256 as per the given fractions.

GCF of 274,256 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,3800

LCM of Fractions 141/274,3800/256 is 267900

Given numbers has no common factors except 1. So, there LCM is their product i.e 535800

Least Common Multiple of 141,3800 with GCF Formula

Least Common Multiple of 141,3800 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 141,3800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,3800) = 1

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

GCF(141,3800) x common factors =1 x 1 = 1

LCM(141,3800) = ( 141 × 3800 ) / 1

LCM(141,3800) = 535800 / 1

LCM(141,3800) = 535800


Lets's calculate GCF of 274,256

2 274, 256
137, 128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535800/2

Therefore the LCM of Fractions 141/274,3800/256 is 267900

Greatest Common Factor of 274,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,256 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 274,256 . The biggest common factor number is the GCF number.
So the greatest common factor 274,256 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 141/274, 3800/256

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 141/274, 3800/256?

Answer: LCM of Numerators as per given numbers 141/274, 3800/256 is

LCM of Numerators i.e. for 141,3800 is 535800

GCF of denominators i.e. for 274,256 is 2.

Thus, LCM of Fractions is 267900.Finally, LCM of Fractions for 141/274, 3800/256 is 267900.