Least Common Multiple of 31/830, 1740/4138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/830, 1740/4138 quickly i.e. 26970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/830, 1740/4138 is 26970.

LCM(31/830, 1740/4138) = 26970

LCM of 31/830, 1740/4138

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 31/830,1740/4138

Given numbers are 31/830,1740/4138

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 31,1740

Least Common Multiple of Numerators i.e. LCM of 31,1740 is 53940.

GCF of Denominators means GCF of 830,4138 as per the given fractions.

GCF of 830,4138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,1740

LCM of Fractions 31/830,1740/4138 is 26970

Given numbers has no common factors except 1. So, there LCM is their product i.e 53940

Least Common Multiple of 31,1740 with GCF Formula

Least Common Multiple of 31,1740 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 31,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,1740) = 1

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

GCF(31,1740) x common factors =1 x 1 = 1

LCM(31,1740) = ( 31 × 1740 ) / 1

LCM(31,1740) = 53940 / 1

LCM(31,1740) = 53940


Lets's calculate GCF of 830,4138

2 830, 4138
415, 2069

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53940/2

Therefore the LCM of Fractions 31/830,1740/4138 is 26970

Greatest Common Factor of 830,4138 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,4138 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Greatest Common Factor

We found the factors 830,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 830,4138 is 2.


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 31/830, 1740/4138

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 31/830, 1740/4138?

Answer: LCM of Numerators as per given numbers 31/830, 1740/4138 is

LCM of Numerators i.e. for 31,1740 is 53940

GCF of denominators i.e. for 830,4138 is 2.

Thus, LCM of Fractions is 26970.Finally, LCM of Fractions for 31/830, 1740/4138 is 26970.