Least Common Multiple of 116/74, 705/30, 727/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/74, 705/30, 727/942 quickly i.e. 29727030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/74, 705/30, 727/942 is 29727030.

LCM(116/74, 705/30, 727/942) = 29727030

LCM of 116/74, 705/30, 727/942

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 116/74,705/30,727/942

Given numbers are 116/74,705/30,727/942

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 116,705,727

Least Common Multiple of Numerators i.e. LCM of 116,705,727 is 59454060.

GCF of Denominators means GCF of 74,30,942 as per the given fractions.

GCF of 74,30,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,705,727

LCM of Fractions 116/74,705/30,727/942 is 29727030

Given numbers has no common factors except 1. So, there LCM is their product i.e 59454060

Least Common Multiple of 116,705,727 with GCF Formula

Least Common Multiple of 116,705,727 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 116,705,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,705,727) = 1

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

GCF(116,705,727) x common factors =1 x 1 = 1

LCM(116,705,727) = ( 116 × 705 × 727 ) / 1

LCM(116,705,727) = 59454060 / 1

LCM(116,705,727) = 59454060


Lets's calculate GCF of 74,30,942

2 74, 30, 942
37, 15, 471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59454060/2

Therefore the LCM of Fractions 116/74,705/30,727/942 is 29727030

Greatest Common Factor of 74,30,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,30,942 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 74,30,942 . The biggest common factor number is the GCF number.
So the greatest common factor 74,30,942 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 116/74, 705/30, 727/942

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 116/74, 705/30, 727/942?

Answer: LCM of Numerators as per given numbers 116/74, 705/30, 727/942 is

LCM of Numerators i.e. for 116,705,727 is 59454060

GCF of denominators i.e. for 74,30,942 is 2.

Thus, LCM of Fractions is 29727030.Finally, LCM of Fractions for 116/74, 705/30, 727/942 is 29727030.