Least Common Multiple of 842/327, 919/277, 949/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/327, 919/277, 949/140 quickly i.e. 734334302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/327, 919/277, 949/140 is 734334302.

LCM(842/327, 919/277, 949/140) = 734334302

LCM of 842/327, 919/277, 949/140

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 842/327,919/277,949/140

Given numbers are 842/327,919/277,949/140

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 842,919,949

Least Common Multiple of Numerators i.e. LCM of 842,919,949 is 734334302.

GCF of Denominators means GCF of 327,277,140 as per the given fractions.

GCF of 327,277,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,919,949

LCM of Fractions 842/327,919/277,949/140 is 734334302

Given numbers has no common factors except 1. So, there LCM is their product i.e 734334302

Least Common Multiple of 842,919,949 with GCF Formula

Least Common Multiple of 842,919,949 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 842,919,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,919,949) = 1

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

GCF(842,919,949) x common factors =1 x 1 = 1

LCM(842,919,949) = ( 842 × 919 × 949 ) / 1

LCM(842,919,949) = 734334302 / 1

LCM(842,919,949) = 734334302


Lets's calculate GCF of 327,277,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734334302/1

Therefore the LCM of Fractions 842/327,919/277,949/140 is 734334302

Greatest Common Factor of 327,277,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,277,140 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 327,277,140 . The biggest common factor number is the GCF number.
So the greatest common factor 327,277,140 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 842/327, 919/277, 949/140

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 842/327, 919/277, 949/140?

Answer: LCM of Numerators as per given numbers 842/327, 919/277, 949/140 is

LCM of Numerators i.e. for 842,919,949 is 734334302

GCF of denominators i.e. for 327,277,140 is 1.

Thus, LCM of Fractions is 734334302.Finally, LCM of Fractions for 842/327, 919/277, 949/140 is 734334302.