Least Common Multiple of 529/637, 1364/3283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/637, 1364/3283 quickly i.e. 721556/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/637, 1364/3283 is 721556/49.

LCM(529/637, 1364/3283) = 721556/49

LCM of 529/637, 1364/3283

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 529/637,1364/3283

Given numbers are 529/637,1364/3283

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 529,1364

Least Common Multiple of Numerators i.e. LCM of 529,1364 is 721556.

GCF of Denominators means GCF of 637,3283 as per the given fractions.

GCF of 637,3283 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,1364

LCM of Fractions 529/637,1364/3283 is 721556/49

Given numbers has no common factors except 1. So, there LCM is their product i.e 721556

Least Common Multiple of 529,1364 with GCF Formula

Least Common Multiple of 529,1364 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 529,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,1364) = 1

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

GCF(529,1364) x common factors =1 x 1 = 1

LCM(529,1364) = ( 529 × 1364 ) / 1

LCM(529,1364) = 721556 / 1

LCM(529,1364) = 721556


Lets's calculate GCF of 637,3283

7 637, 3283
7 91, 469
13, 67

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721556/49

Therefore the LCM of Fractions 529/637,1364/3283 is 721556/49

Greatest Common Factor of 637,3283 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,3283 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 3283

List of positive integer factors of 3283 that divides 3283 without a remainder.

1,7,49,67,469,3283

Greatest Common Factor

We found the factors 637,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 637,3283 is 49.


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 529/637, 1364/3283

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 529/637, 1364/3283?

Answer: LCM of Numerators as per given numbers 529/637, 1364/3283 is

LCM of Numerators i.e. for 529,1364 is 721556

GCF of denominators i.e. for 637,3283 is 49.

Thus, LCM of Fractions is 721556/49.Finally, LCM of Fractions for 529/637, 1364/3283 is 721556/49.