Least Common Multiple of 2428/277, 1846/7479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2428/277, 1846/7479 quickly i.e. 2241044/277 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2428/277, 1846/7479 is 2241044/277.

LCM(2428/277, 1846/7479) = 2241044/277

LCM of 2428/277, 1846/7479

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 2428/277,1846/7479

Given numbers are 2428/277,1846/7479

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 2428,1846

Least Common Multiple of Numerators i.e. LCM of 2428,1846 is 2241044.

GCF of Denominators means GCF of 277,7479 as per the given fractions.

GCF of 277,7479 is 277 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2428,1846

LCM of Fractions 2428/277,1846/7479 is 2241044/277

2 2428, 1846
1214, 923

∴ So the LCM of the given numbers is 2 x 1214 x 923 = 2241044

Least Common Multiple of 2428,1846 with GCF Formula

Least Common Multiple of 2428,1846 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 2428,1846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2428,1846) = 2

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

GCF(2428,1846) x common factors =2 x 1 = 2

LCM(2428,1846) = ( 2428 × 1846 ) / 2

LCM(2428,1846) = 4482088 / 2

LCM(2428,1846) = 2241044


Lets's calculate GCF of 277,7479

277 277, 7479
1, 27

∴ So the GCF of the given numbers is 277 = 277

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2241044/277

Therefore the LCM of Fractions 2428/277,1846/7479 is 2241044/277

Greatest Common Factor of 277,7479 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,7479 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Greatest Common Factor

We found the factors 277,7479 . The biggest common factor number is the GCF number.
So the greatest common factor 277,7479 is 277.


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 2428/277, 1846/7479

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 2428/277, 1846/7479?

Answer: LCM of Numerators as per given numbers 2428/277, 1846/7479 is

LCM of Numerators i.e. for 2428,1846 is 2241044

GCF of denominators i.e. for 277,7479 is 277.

Thus, LCM of Fractions is 2241044/277.Finally, LCM of Fractions for 2428/277, 1846/7479 is 2241044/277.