Least Common Multiple of 548/656, 2603/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/656, 2603/365 quickly i.e. 10412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/656, 2603/365 is 10412.

LCM(548/656, 2603/365) = 10412

LCM of 548/656, 2603/365

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 548/656,2603/365

Given numbers are 548/656,2603/365

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 548,2603

Least Common Multiple of Numerators i.e. LCM of 548,2603 is 10412.

GCF of Denominators means GCF of 656,365 as per the given fractions.

GCF of 656,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,2603

LCM of Fractions 548/656,2603/365 is 10412

137 548, 2603
4, 19

∴ So the LCM of the given numbers is 137 x 4 x 19 = 10412

Least Common Multiple of 548,2603 with GCF Formula

Least Common Multiple of 548,2603 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 548,2603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,2603) = 137

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

GCF(548,2603) x common factors =137 x 1 = 137

LCM(548,2603) = ( 548 × 2603 ) / 137

LCM(548,2603) = 1426444 / 137

LCM(548,2603) = 10412


Lets's calculate GCF of 656,365

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10412/1

Therefore the LCM of Fractions 548/656,2603/365 is 10412

Greatest Common Factor of 656,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,365 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 656,365 . The biggest common factor number is the GCF number.
So the greatest common factor 656,365 is 1.


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 548/656, 2603/365

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 548/656, 2603/365?

Answer: LCM of Numerators as per given numbers 548/656, 2603/365 is

LCM of Numerators i.e. for 548,2603 is 10412

GCF of denominators i.e. for 656,365 is 1.

Thus, LCM of Fractions is 10412.Finally, LCM of Fractions for 548/656, 2603/365 is 10412.