Least Common Multiple of 347/31, 915/48, 149/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 347/31, 915/48, 149/891 quickly i.e. 47308245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/31, 915/48, 149/891 is 47308245.

LCM(347/31, 915/48, 149/891) = 47308245

LCM of 347/31, 915/48, 149/891

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 347/31,915/48,149/891

Given numbers are 347/31,915/48,149/891

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 347,915,149

Least Common Multiple of Numerators i.e. LCM of 347,915,149 is 47308245.

GCF of Denominators means GCF of 31,48,891 as per the given fractions.

GCF of 31,48,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,915,149

LCM of Fractions 347/31,915/48,149/891 is 47308245

Given numbers has no common factors except 1. So, there LCM is their product i.e 47308245

Least Common Multiple of 347,915,149 with GCF Formula

Least Common Multiple of 347,915,149 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 347,915,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,915,149) = 1

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

GCF(347,915,149) x common factors =1 x 1 = 1

LCM(347,915,149) = ( 347 × 915 × 149 ) / 1

LCM(347,915,149) = 47308245 / 1

LCM(347,915,149) = 47308245


Lets's calculate GCF of 31,48,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47308245/1

Therefore the LCM of Fractions 347/31,915/48,149/891 is 47308245

Greatest Common Factor of 31,48,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,48,891 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 31,48,891 . The biggest common factor number is the GCF number.
So the greatest common factor 31,48,891 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 347/31, 915/48, 149/891

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 347/31, 915/48, 149/891?

Answer: LCM of Numerators as per given numbers 347/31, 915/48, 149/891 is

LCM of Numerators i.e. for 347,915,149 is 47308245

GCF of denominators i.e. for 31,48,891 is 1.

Thus, LCM of Fractions is 47308245.Finally, LCM of Fractions for 347/31, 915/48, 149/891 is 47308245.