Least Common Multiple of 49/255, 412/34, 997/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/255, 412/34, 997/123 quickly i.e. 20127436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/255, 412/34, 997/123 is 20127436.

LCM(49/255, 412/34, 997/123) = 20127436

LCM of 49/255, 412/34, 997/123

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 49/255,412/34,997/123

Given numbers are 49/255,412/34,997/123

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 49,412,997

Least Common Multiple of Numerators i.e. LCM of 49,412,997 is 20127436.

GCF of Denominators means GCF of 255,34,123 as per the given fractions.

GCF of 255,34,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,412,997

LCM of Fractions 49/255,412/34,997/123 is 20127436

Given numbers has no common factors except 1. So, there LCM is their product i.e 20127436

Least Common Multiple of 49,412,997 with GCF Formula

Least Common Multiple of 49,412,997 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 49,412,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,412,997) = 1

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

GCF(49,412,997) x common factors =1 x 1 = 1

LCM(49,412,997) = ( 49 × 412 × 997 ) / 1

LCM(49,412,997) = 20127436 / 1

LCM(49,412,997) = 20127436


Lets's calculate GCF of 255,34,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20127436/1

Therefore the LCM of Fractions 49/255,412/34,997/123 is 20127436

Greatest Common Factor of 255,34,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,34,123 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 255,34,123 . The biggest common factor number is the GCF number.
So the greatest common factor 255,34,123 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 49/255, 412/34, 997/123

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 49/255, 412/34, 997/123?

Answer: LCM of Numerators as per given numbers 49/255, 412/34, 997/123 is

LCM of Numerators i.e. for 49,412,997 is 20127436

GCF of denominators i.e. for 255,34,123 is 1.

Thus, LCM of Fractions is 20127436.Finally, LCM of Fractions for 49/255, 412/34, 997/123 is 20127436.