Least Common Multiple of 1044/109, 3103/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1044/109, 3103/245 quickly i.e. 111708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1044/109, 3103/245 is 111708.

LCM(1044/109, 3103/245) = 111708

LCM of 1044/109, 3103/245

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 1044/109,3103/245

Given numbers are 1044/109,3103/245

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 1044,3103

Least Common Multiple of Numerators i.e. LCM of 1044,3103 is 111708.

GCF of Denominators means GCF of 109,245 as per the given fractions.

GCF of 109,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1044,3103

LCM of Fractions 1044/109,3103/245 is 111708

29 1044, 3103
36, 107

∴ So the LCM of the given numbers is 29 x 36 x 107 = 111708

Least Common Multiple of 1044,3103 with GCF Formula

Least Common Multiple of 1044,3103 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 1044,3103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1044,3103) = 29

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

GCF(1044,3103) x common factors =29 x 1 = 29

LCM(1044,3103) = ( 1044 × 3103 ) / 29

LCM(1044,3103) = 3239532 / 29

LCM(1044,3103) = 111708


Lets's calculate GCF of 109,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111708/1

Therefore the LCM of Fractions 1044/109,3103/245 is 111708

Greatest Common Factor of 109,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,245 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 109,245 . The biggest common factor number is the GCF number.
So the greatest common factor 109,245 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 1044/109, 3103/245

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 1044/109, 3103/245?

Answer: LCM of Numerators as per given numbers 1044/109, 3103/245 is

LCM of Numerators i.e. for 1044,3103 is 111708

GCF of denominators i.e. for 109,245 is 1.

Thus, LCM of Fractions is 111708.Finally, LCM of Fractions for 1044/109, 3103/245 is 111708.