Least Common Multiple of 97/305, 103/600, 742/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/305, 103/600, 742/911 quickly i.e. 7413322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/305, 103/600, 742/911 is 7413322.

LCM(97/305, 103/600, 742/911) = 7413322

LCM of 97/305, 103/600, 742/911

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 97/305,103/600,742/911

Given numbers are 97/305,103/600,742/911

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 97,103,742

Least Common Multiple of Numerators i.e. LCM of 97,103,742 is 7413322.

GCF of Denominators means GCF of 305,600,911 as per the given fractions.

GCF of 305,600,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,103,742

LCM of Fractions 97/305,103/600,742/911 is 7413322

Given numbers has no common factors except 1. So, there LCM is their product i.e 7413322

Least Common Multiple of 97,103,742 with GCF Formula

Least Common Multiple of 97,103,742 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 97,103,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,103,742) = 1

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

GCF(97,103,742) x common factors =1 x 1 = 1

LCM(97,103,742) = ( 97 × 103 × 742 ) / 1

LCM(97,103,742) = 7413322 / 1

LCM(97,103,742) = 7413322


Lets's calculate GCF of 305,600,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7413322/1

Therefore the LCM of Fractions 97/305,103/600,742/911 is 7413322

Greatest Common Factor of 305,600,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,600,911 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 305,600,911 . The biggest common factor number is the GCF number.
So the greatest common factor 305,600,911 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 97/305, 103/600, 742/911

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 97/305, 103/600, 742/911?

Answer: LCM of Numerators as per given numbers 97/305, 103/600, 742/911 is

LCM of Numerators i.e. for 97,103,742 is 7413322

GCF of denominators i.e. for 305,600,911 is 1.

Thus, LCM of Fractions is 7413322.Finally, LCM of Fractions for 97/305, 103/600, 742/911 is 7413322.