Least Common Multiple of 7480/497, 9677/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7480/497, 9677/710 quickly i.e. 72383960/71 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7480/497, 9677/710 is 72383960/71.

LCM(7480/497, 9677/710) = 72383960/71

LCM of 7480/497, 9677/710

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 7480/497,9677/710

Given numbers are 7480/497,9677/710

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 7480,9677

Least Common Multiple of Numerators i.e. LCM of 7480,9677 is 72383960.

GCF of Denominators means GCF of 497,710 as per the given fractions.

GCF of 497,710 is 71 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7480,9677

LCM of Fractions 7480/497,9677/710 is 72383960/71

Given numbers has no common factors except 1. So, there LCM is their product i.e 72383960

Least Common Multiple of 7480,9677 with GCF Formula

Least Common Multiple of 7480,9677 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 7480,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7480,9677) = 1

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

GCF(7480,9677) x common factors =1 x 1 = 1

LCM(7480,9677) = ( 7480 × 9677 ) / 1

LCM(7480,9677) = 72383960 / 1

LCM(7480,9677) = 72383960


Lets's calculate GCF of 497,710

71 497, 710
7, 10

∴ So the GCF of the given numbers is 71 = 71

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72383960/71

Therefore the LCM of Fractions 7480/497,9677/710 is 72383960/71

Greatest Common Factor of 497,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,710 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 497,710 . The biggest common factor number is the GCF number.
So the greatest common factor 497,710 is 71.


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 7480/497, 9677/710

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 7480/497, 9677/710?

Answer: LCM of Numerators as per given numbers 7480/497, 9677/710 is

LCM of Numerators i.e. for 7480,9677 is 72383960

GCF of denominators i.e. for 497,710 is 71.

Thus, LCM of Fractions is 72383960/71.Finally, LCM of Fractions for 7480/497, 9677/710 is 72383960/71.