Least Common Multiple of 2028/548, 2567/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2028/548, 2567/374 quickly i.e. 2602938 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2028/548, 2567/374 is 2602938.

LCM(2028/548, 2567/374) = 2602938

LCM of 2028/548, 2567/374

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 2028/548,2567/374

Given numbers are 2028/548,2567/374

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 2028,2567

Least Common Multiple of Numerators i.e. LCM of 2028,2567 is 5205876.

GCF of Denominators means GCF of 548,374 as per the given fractions.

GCF of 548,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2028,2567

LCM of Fractions 2028/548,2567/374 is 2602938

Given numbers has no common factors except 1. So, there LCM is their product i.e 5205876

Least Common Multiple of 2028,2567 with GCF Formula

Least Common Multiple of 2028,2567 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 2028,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2028,2567) = 1

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

GCF(2028,2567) x common factors =1 x 1 = 1

LCM(2028,2567) = ( 2028 × 2567 ) / 1

LCM(2028,2567) = 5205876 / 1

LCM(2028,2567) = 5205876


Lets's calculate GCF of 548,374

2 548, 374
274, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5205876/2

Therefore the LCM of Fractions 2028/548,2567/374 is 2602938

Greatest Common Factor of 548,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,374 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 548,374 . The biggest common factor number is the GCF number.
So the greatest common factor 548,374 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 2028/548, 2567/374

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 2028/548, 2567/374?

Answer: LCM of Numerators as per given numbers 2028/548, 2567/374 is

LCM of Numerators i.e. for 2028,2567 is 5205876

GCF of denominators i.e. for 548,374 is 2.

Thus, LCM of Fractions is 2602938.Finally, LCM of Fractions for 2028/548, 2567/374 is 2602938.