Least Common Multiple of 57/214, 7130/4228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/214, 7130/4228 quickly i.e. 203205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/214, 7130/4228 is 203205.

LCM(57/214, 7130/4228) = 203205

LCM of 57/214, 7130/4228

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 57/214,7130/4228

Given numbers are 57/214,7130/4228

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 57,7130

Least Common Multiple of Numerators i.e. LCM of 57,7130 is 406410.

GCF of Denominators means GCF of 214,4228 as per the given fractions.

GCF of 214,4228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,7130

LCM of Fractions 57/214,7130/4228 is 203205

Given numbers has no common factors except 1. So, there LCM is their product i.e 406410

Least Common Multiple of 57,7130 with GCF Formula

Least Common Multiple of 57,7130 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 57,7130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,7130) = 1

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

GCF(57,7130) x common factors =1 x 1 = 1

LCM(57,7130) = ( 57 × 7130 ) / 1

LCM(57,7130) = 406410 / 1

LCM(57,7130) = 406410


Lets's calculate GCF of 214,4228

2 214, 4228
107, 2114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406410/2

Therefore the LCM of Fractions 57/214,7130/4228 is 203205

Greatest Common Factor of 214,4228 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,4228 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1,2,4,7,14,28,151,302,604,1057,2114,4228

Greatest Common Factor

We found the factors 214,4228 . The biggest common factor number is the GCF number.
So the greatest common factor 214,4228 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 57/214, 7130/4228

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 57/214, 7130/4228?

Answer: LCM of Numerators as per given numbers 57/214, 7130/4228 is

LCM of Numerators i.e. for 57,7130 is 406410

GCF of denominators i.e. for 214,4228 is 2.

Thus, LCM of Fractions is 203205.Finally, LCM of Fractions for 57/214, 7130/4228 is 203205.