Least Common Multiple of 427/143, 211/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/143, 211/308 quickly i.e. 90097/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/143, 211/308 is 90097/11.

LCM(427/143, 211/308) = 90097/11

LCM of 427/143, 211/308

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 427/143,211/308

Given numbers are 427/143,211/308

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 427,211

Least Common Multiple of Numerators i.e. LCM of 427,211 is 90097.

GCF of Denominators means GCF of 143,308 as per the given fractions.

GCF of 143,308 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,211

LCM of Fractions 427/143,211/308 is 90097/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 90097

Least Common Multiple of 427,211 with GCF Formula

Least Common Multiple of 427,211 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 427,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,211) = 1

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

GCF(427,211) x common factors =1 x 1 = 1

LCM(427,211) = ( 427 × 211 ) / 1

LCM(427,211) = 90097 / 1

LCM(427,211) = 90097


Lets's calculate GCF of 143,308

11 143, 308
13, 28

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90097/11

Therefore the LCM of Fractions 427/143,211/308 is 90097/11

Greatest Common Factor of 143,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,308 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 143,308 . The biggest common factor number is the GCF number.
So the greatest common factor 143,308 is 11.


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 427/143, 211/308

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 427/143, 211/308?

Answer: LCM of Numerators as per given numbers 427/143, 211/308 is

LCM of Numerators i.e. for 427,211 is 90097

GCF of denominators i.e. for 143,308 is 11.

Thus, LCM of Fractions is 90097/11.Finally, LCM of Fractions for 427/143, 211/308 is 90097/11.