Least Common Multiple of 309/132, 145/654, 592/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/132, 145/654, 592/824 quickly i.e. 13262280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/132, 145/654, 592/824 is 13262280.

LCM(309/132, 145/654, 592/824) = 13262280

LCM of 309/132, 145/654, 592/824

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 309/132,145/654,592/824

Given numbers are 309/132,145/654,592/824

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 309,145,592

Least Common Multiple of Numerators i.e. LCM of 309,145,592 is 26524560.

GCF of Denominators means GCF of 132,654,824 as per the given fractions.

GCF of 132,654,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,145,592

LCM of Fractions 309/132,145/654,592/824 is 13262280

Given numbers has no common factors except 1. So, there LCM is their product i.e 26524560

Least Common Multiple of 309,145,592 with GCF Formula

Least Common Multiple of 309,145,592 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 309,145,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,145,592) = 1

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

GCF(309,145,592) x common factors =1 x 1 = 1

LCM(309,145,592) = ( 309 × 145 × 592 ) / 1

LCM(309,145,592) = 26524560 / 1

LCM(309,145,592) = 26524560


Lets's calculate GCF of 132,654,824

2 132, 654, 824
66, 327, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26524560/2

Therefore the LCM of Fractions 309/132,145/654,592/824 is 13262280

Greatest Common Factor of 132,654,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,654,824 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 132,654,824 . The biggest common factor number is the GCF number.
So the greatest common factor 132,654,824 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 309/132, 145/654, 592/824

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 309/132, 145/654, 592/824?

Answer: LCM of Numerators as per given numbers 309/132, 145/654, 592/824 is

LCM of Numerators i.e. for 309,145,592 is 26524560

GCF of denominators i.e. for 132,654,824 is 2.

Thus, LCM of Fractions is 13262280.Finally, LCM of Fractions for 309/132, 145/654, 592/824 is 13262280.