Least Common Multiple of 740/240, 2597/6971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/240, 2597/6971 quickly i.e. 1921780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/240, 2597/6971 is 1921780.

LCM(740/240, 2597/6971) = 1921780

LCM of 740/240, 2597/6971

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 740/240,2597/6971

Given numbers are 740/240,2597/6971

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 740,2597

Least Common Multiple of Numerators i.e. LCM of 740,2597 is 1921780.

GCF of Denominators means GCF of 240,6971 as per the given fractions.

GCF of 240,6971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,2597

LCM of Fractions 740/240,2597/6971 is 1921780

Given numbers has no common factors except 1. So, there LCM is their product i.e 1921780

Least Common Multiple of 740,2597 with GCF Formula

Least Common Multiple of 740,2597 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 740,2597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,2597) = 1

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

GCF(740,2597) x common factors =1 x 1 = 1

LCM(740,2597) = ( 740 × 2597 ) / 1

LCM(740,2597) = 1921780 / 1

LCM(740,2597) = 1921780


Lets's calculate GCF of 240,6971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1921780/1

Therefore the LCM of Fractions 740/240,2597/6971 is 1921780

Greatest Common Factor of 240,6971 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,6971 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 6971

List of positive integer factors of 6971 that divides 6971 without a remainder.

1,6971

Greatest Common Factor

We found the factors 240,6971 . The biggest common factor number is the GCF number.
So the greatest common factor 240,6971 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 740/240, 2597/6971

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 740/240, 2597/6971?

Answer: LCM of Numerators as per given numbers 740/240, 2597/6971 is

LCM of Numerators i.e. for 740,2597 is 1921780

GCF of denominators i.e. for 240,6971 is 1.

Thus, LCM of Fractions is 1921780.Finally, LCM of Fractions for 740/240, 2597/6971 is 1921780.