Least Common Multiple of 327/50, 719/49, 969/97

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/50, 719/49, 969/97 quickly i.e. 75941499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/50, 719/49, 969/97 is 75941499.

LCM(327/50, 719/49, 969/97) = 75941499

LCM of 327/50, 719/49, 969/97

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 327/50,719/49,969/97

Given numbers are 327/50,719/49,969/97

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 327,719,969

Least Common Multiple of Numerators i.e. LCM of 327,719,969 is 75941499.

GCF of Denominators means GCF of 50,49,97 as per the given fractions.

GCF of 50,49,97 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,719,969

LCM of Fractions 327/50,719/49,969/97 is 75941499

3 327, 719, 969
109, 719, 323

∴ So the LCM of the given numbers is 3 x 109 x 719 x 323 = 75941499

Least Common Multiple of 327,719,969 with GCF Formula

Least Common Multiple of 327,719,969 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 327,719,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,719,969) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(327,719,969) x common factors =1 x 3 = 3

LCM(327,719,969) = ( 327 × 719 × 969 ) / 3

LCM(327,719,969) = 227824497 / 3

LCM(327,719,969) = 75941499


Lets's calculate GCF of 50,49,97

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75941499/1

Therefore the LCM of Fractions 327/50,719/49,969/97 is 75941499

Greatest Common Factor of 50,49,97 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,49,97 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Greatest Common Factor

We found the factors 50,49,97 . The biggest common factor number is the GCF number.
So the greatest common factor 50,49,97 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 327/50, 719/49, 969/97

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 327/50, 719/49, 969/97?

Answer: LCM of Numerators as per given numbers 327/50, 719/49, 969/97 is

LCM of Numerators i.e. for 327,719,969 is 75941499

GCF of denominators i.e. for 50,49,97 is 1.

Thus, LCM of Fractions is 75941499.Finally, LCM of Fractions for 327/50, 719/49, 969/97 is 75941499.