Least Common Multiple of 2780/438, 2347/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2780/438, 2347/302 quickly i.e. 3262330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2780/438, 2347/302 is 3262330.

LCM(2780/438, 2347/302) = 3262330

LCM of 2780/438, 2347/302

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 2780/438,2347/302

Given numbers are 2780/438,2347/302

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 2780,2347

Least Common Multiple of Numerators i.e. LCM of 2780,2347 is 6524660.

GCF of Denominators means GCF of 438,302 as per the given fractions.

GCF of 438,302 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2780,2347

LCM of Fractions 2780/438,2347/302 is 3262330

Given numbers has no common factors except 1. So, there LCM is their product i.e 6524660

Least Common Multiple of 2780,2347 with GCF Formula

Least Common Multiple of 2780,2347 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 2780,2347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2780,2347) = 1

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

GCF(2780,2347) x common factors =1 x 1 = 1

LCM(2780,2347) = ( 2780 × 2347 ) / 1

LCM(2780,2347) = 6524660 / 1

LCM(2780,2347) = 6524660


Lets's calculate GCF of 438,302

2 438, 302
219, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6524660/2

Therefore the LCM of Fractions 2780/438,2347/302 is 3262330

Greatest Common Factor of 438,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,302 By Matching Biggest Common Factor Method

Factors of 438

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

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

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 438,302 . The biggest common factor number is the GCF number.
So the greatest common factor 438,302 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2780/438, 2347/302

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 2780/438, 2347/302?

Answer: LCM of Numerators as per given numbers 2780/438, 2347/302 is

LCM of Numerators i.e. for 2780,2347 is 6524660

GCF of denominators i.e. for 438,302 is 2.

Thus, LCM of Fractions is 3262330.Finally, LCM of Fractions for 2780/438, 2347/302 is 3262330.