Least Common Multiple of 667/265, 829/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/265, 829/133 quickly i.e. 552943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/265, 829/133 is 552943.

LCM(667/265, 829/133) = 552943

LCM of 667/265, 829/133

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 667/265,829/133

Given numbers are 667/265,829/133

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 667,829

Least Common Multiple of Numerators i.e. LCM of 667,829 is 552943.

GCF of Denominators means GCF of 265,133 as per the given fractions.

GCF of 265,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,829

LCM of Fractions 667/265,829/133 is 552943

Given numbers has no common factors except 1. So, there LCM is their product i.e 552943

Least Common Multiple of 667,829 with GCF Formula

Least Common Multiple of 667,829 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 667,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,829) = 1

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

GCF(667,829) x common factors =1 x 1 = 1

LCM(667,829) = ( 667 × 829 ) / 1

LCM(667,829) = 552943 / 1

LCM(667,829) = 552943


Lets's calculate GCF of 265,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552943/1

Therefore the LCM of Fractions 667/265,829/133 is 552943

Greatest Common Factor of 265,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,133 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 265,133 . The biggest common factor number is the GCF number.
So the greatest common factor 265,133 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 667/265, 829/133

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 667/265, 829/133?

Answer: LCM of Numerators as per given numbers 667/265, 829/133 is

LCM of Numerators i.e. for 667,829 is 552943

GCF of denominators i.e. for 265,133 is 1.

Thus, LCM of Fractions is 552943.Finally, LCM of Fractions for 667/265, 829/133 is 552943.