Least Common Multiple of 103/227, 978/742, 605/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/227, 978/742, 605/960 quickly i.e. 60944070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/227, 978/742, 605/960 is 60944070.

LCM(103/227, 978/742, 605/960) = 60944070

LCM of 103/227, 978/742, 605/960

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 103/227,978/742,605/960

Given numbers are 103/227,978/742,605/960

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 103,978,605

Least Common Multiple of Numerators i.e. LCM of 103,978,605 is 60944070.

GCF of Denominators means GCF of 227,742,960 as per the given fractions.

GCF of 227,742,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,978,605

LCM of Fractions 103/227,978/742,605/960 is 60944070

Given numbers has no common factors except 1. So, there LCM is their product i.e 60944070

Least Common Multiple of 103,978,605 with GCF Formula

Least Common Multiple of 103,978,605 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 103,978,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,978,605) = 1

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

GCF(103,978,605) x common factors =1 x 1 = 1

LCM(103,978,605) = ( 103 × 978 × 605 ) / 1

LCM(103,978,605) = 60944070 / 1

LCM(103,978,605) = 60944070


Lets's calculate GCF of 227,742,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60944070/1

Therefore the LCM of Fractions 103/227,978/742,605/960 is 60944070

Greatest Common Factor of 227,742,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,742,960 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 227,742,960 . The biggest common factor number is the GCF number.
So the greatest common factor 227,742,960 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 103/227, 978/742, 605/960

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 103/227, 978/742, 605/960?

Answer: LCM of Numerators as per given numbers 103/227, 978/742, 605/960 is

LCM of Numerators i.e. for 103,978,605 is 60944070

GCF of denominators i.e. for 227,742,960 is 1.

Thus, LCM of Fractions is 60944070.Finally, LCM of Fractions for 103/227, 978/742, 605/960 is 60944070.