Least Common Multiple of 305/831, 740/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/831, 740/993 quickly i.e. 45140/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/831, 740/993 is 45140/3.

LCM(305/831, 740/993) = 45140/3

LCM of 305/831, 740/993

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 305/831,740/993

Given numbers are 305/831,740/993

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 305,740

Least Common Multiple of Numerators i.e. LCM of 305,740 is 45140.

GCF of Denominators means GCF of 831,993 as per the given fractions.

GCF of 831,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,740

LCM of Fractions 305/831,740/993 is 45140/3

5 305, 740
61, 148

∴ So the LCM of the given numbers is 5 x 61 x 148 = 45140

Least Common Multiple of 305,740 with GCF Formula

Least Common Multiple of 305,740 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 305,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,740) = 5

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

GCF(305,740) x common factors =5 x 1 = 5

LCM(305,740) = ( 305 × 740 ) / 5

LCM(305,740) = 225700 / 5

LCM(305,740) = 45140


Lets's calculate GCF of 831,993

3 831, 993
277, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45140/3

Therefore the LCM of Fractions 305/831,740/993 is 45140/3

Greatest Common Factor of 831,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,993 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 831,993 . The biggest common factor number is the GCF number.
So the greatest common factor 831,993 is 3.


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 305/831, 740/993

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 305/831, 740/993?

Answer: LCM of Numerators as per given numbers 305/831, 740/993 is

LCM of Numerators i.e. for 305,740 is 45140

GCF of denominators i.e. for 831,993 is 3.

Thus, LCM of Fractions is 45140/3.Finally, LCM of Fractions for 305/831, 740/993 is 45140/3.