Least Common Multiple of 123/845, 4105/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/845, 4105/276 quickly i.e. 504915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/845, 4105/276 is 504915.

LCM(123/845, 4105/276) = 504915

LCM of 123/845, 4105/276

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 123/845,4105/276

Given numbers are 123/845,4105/276

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 123,4105

Least Common Multiple of Numerators i.e. LCM of 123,4105 is 504915.

GCF of Denominators means GCF of 845,276 as per the given fractions.

GCF of 845,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,4105

LCM of Fractions 123/845,4105/276 is 504915

Given numbers has no common factors except 1. So, there LCM is their product i.e 504915

Least Common Multiple of 123,4105 with GCF Formula

Least Common Multiple of 123,4105 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 123,4105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,4105) = 1

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

GCF(123,4105) x common factors =1 x 1 = 1

LCM(123,4105) = ( 123 × 4105 ) / 1

LCM(123,4105) = 504915 / 1

LCM(123,4105) = 504915


Lets's calculate GCF of 845,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504915/1

Therefore the LCM of Fractions 123/845,4105/276 is 504915

Greatest Common Factor of 845,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,276 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 845,276 . The biggest common factor number is the GCF number.
So the greatest common factor 845,276 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 123/845, 4105/276

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 123/845, 4105/276?

Answer: LCM of Numerators as per given numbers 123/845, 4105/276 is

LCM of Numerators i.e. for 123,4105 is 504915

GCF of denominators i.e. for 845,276 is 1.

Thus, LCM of Fractions is 504915.Finally, LCM of Fractions for 123/845, 4105/276 is 504915.