Least Common Multiple of 132/266, 229/308, 829/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 132/266, 229/308, 829/760 quickly i.e. 12529506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/266, 229/308, 829/760 is 12529506.

LCM(132/266, 229/308, 829/760) = 12529506

LCM of 132/266, 229/308, 829/760

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 132/266,229/308,829/760

Given numbers are 132/266,229/308,829/760

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 132,229,829

Least Common Multiple of Numerators i.e. LCM of 132,229,829 is 25059012.

GCF of Denominators means GCF of 266,308,760 as per the given fractions.

GCF of 266,308,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,229,829

LCM of Fractions 132/266,229/308,829/760 is 12529506

Given numbers has no common factors except 1. So, there LCM is their product i.e 25059012

Least Common Multiple of 132,229,829 with GCF Formula

Least Common Multiple of 132,229,829 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 132,229,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,229,829) = 1

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

GCF(132,229,829) x common factors =1 x 1 = 1

LCM(132,229,829) = ( 132 × 229 × 829 ) / 1

LCM(132,229,829) = 25059012 / 1

LCM(132,229,829) = 25059012


Lets's calculate GCF of 266,308,760

2 266, 308, 760
133, 154, 380

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25059012/2

Therefore the LCM of Fractions 132/266,229/308,829/760 is 12529506

Greatest Common Factor of 266,308,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,308,760 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 266,308,760 . The biggest common factor number is the GCF number.
So the greatest common factor 266,308,760 is 2.


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 132/266, 229/308, 829/760

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 132/266, 229/308, 829/760?

Answer: LCM of Numerators as per given numbers 132/266, 229/308, 829/760 is

LCM of Numerators i.e. for 132,229,829 is 25059012

GCF of denominators i.e. for 266,308,760 is 2.

Thus, LCM of Fractions is 12529506.Finally, LCM of Fractions for 132/266, 229/308, 829/760 is 12529506.