Least Common Multiple of 1529/773, 3677/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1529/773, 3677/683 quickly i.e. 5622133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1529/773, 3677/683 is 5622133.

LCM(1529/773, 3677/683) = 5622133

LCM of 1529/773, 3677/683

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 1529/773,3677/683

Given numbers are 1529/773,3677/683

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 1529,3677

Least Common Multiple of Numerators i.e. LCM of 1529,3677 is 5622133.

GCF of Denominators means GCF of 773,683 as per the given fractions.

GCF of 773,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1529,3677

LCM of Fractions 1529/773,3677/683 is 5622133

Given numbers has no common factors except 1. So, there LCM is their product i.e 5622133

Least Common Multiple of 1529,3677 with GCF Formula

Least Common Multiple of 1529,3677 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 1529,3677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1529,3677) = 1

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

GCF(1529,3677) x common factors =1 x 1 = 1

LCM(1529,3677) = ( 1529 × 3677 ) / 1

LCM(1529,3677) = 5622133 / 1

LCM(1529,3677) = 5622133


Lets's calculate GCF of 773,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5622133/1

Therefore the LCM of Fractions 1529/773,3677/683 is 5622133

Greatest Common Factor of 773,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,683 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 773,683 . The biggest common factor number is the GCF number.
So the greatest common factor 773,683 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 1529/773, 3677/683

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 1529/773, 3677/683?

Answer: LCM of Numerators as per given numbers 1529/773, 3677/683 is

LCM of Numerators i.e. for 1529,3677 is 5622133

GCF of denominators i.e. for 773,683 is 1.

Thus, LCM of Fractions is 5622133.Finally, LCM of Fractions for 1529/773, 3677/683 is 5622133.