Least Common Multiple of 682/977, 2289/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/977, 2289/397 quickly i.e. 1561098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/977, 2289/397 is 1561098.

LCM(682/977, 2289/397) = 1561098

LCM of 682/977, 2289/397

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 682/977,2289/397

Given numbers are 682/977,2289/397

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 682,2289

Least Common Multiple of Numerators i.e. LCM of 682,2289 is 1561098.

GCF of Denominators means GCF of 977,397 as per the given fractions.

GCF of 977,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,2289

LCM of Fractions 682/977,2289/397 is 1561098

Given numbers has no common factors except 1. So, there LCM is their product i.e 1561098

Least Common Multiple of 682,2289 with GCF Formula

Least Common Multiple of 682,2289 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 682,2289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,2289) = 1

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

GCF(682,2289) x common factors =1 x 1 = 1

LCM(682,2289) = ( 682 × 2289 ) / 1

LCM(682,2289) = 1561098 / 1

LCM(682,2289) = 1561098


Lets's calculate GCF of 977,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1561098/1

Therefore the LCM of Fractions 682/977,2289/397 is 1561098

Greatest Common Factor of 977,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,397 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 977,397 . The biggest common factor number is the GCF number.
So the greatest common factor 977,397 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 682/977, 2289/397

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 682/977, 2289/397?

Answer: LCM of Numerators as per given numbers 682/977, 2289/397 is

LCM of Numerators i.e. for 682,2289 is 1561098

GCF of denominators i.e. for 977,397 is 1.

Thus, LCM of Fractions is 1561098.Finally, LCM of Fractions for 682/977, 2289/397 is 1561098.