Least Common Multiple of 683/122, 1412/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 683/122, 1412/739 quickly i.e. 964396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/122, 1412/739 is 964396.

LCM(683/122, 1412/739) = 964396

LCM of 683/122, 1412/739

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 683/122,1412/739

Given numbers are 683/122,1412/739

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 683,1412

Least Common Multiple of Numerators i.e. LCM of 683,1412 is 964396.

GCF of Denominators means GCF of 122,739 as per the given fractions.

GCF of 122,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,1412

LCM of Fractions 683/122,1412/739 is 964396

Given numbers has no common factors except 1. So, there LCM is their product i.e 964396

Least Common Multiple of 683,1412 with GCF Formula

Least Common Multiple of 683,1412 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 683,1412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,1412) = 1

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

GCF(683,1412) x common factors =1 x 1 = 1

LCM(683,1412) = ( 683 × 1412 ) / 1

LCM(683,1412) = 964396 / 1

LCM(683,1412) = 964396


Lets's calculate GCF of 122,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 964396/1

Therefore the LCM of Fractions 683/122,1412/739 is 964396

Greatest Common Factor of 122,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,739 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 122,739 . The biggest common factor number is the GCF number.
So the greatest common factor 122,739 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 683/122, 1412/739

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 683/122, 1412/739?

Answer: LCM of Numerators as per given numbers 683/122, 1412/739 is

LCM of Numerators i.e. for 683,1412 is 964396

GCF of denominators i.e. for 122,739 is 1.

Thus, LCM of Fractions is 964396.Finally, LCM of Fractions for 683/122, 1412/739 is 964396.