Least Common Multiple of 82/24, 309/54, 148/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/24, 309/54, 148/848 quickly i.e. 937506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/24, 309/54, 148/848 is 937506.

LCM(82/24, 309/54, 148/848) = 937506

LCM of 82/24, 309/54, 148/848

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 82/24,309/54,148/848

Given numbers are 82/24,309/54,148/848

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 82,309,148

Least Common Multiple of Numerators i.e. LCM of 82,309,148 is 1875012.

GCF of Denominators means GCF of 24,54,848 as per the given fractions.

GCF of 24,54,848 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,309,148

LCM of Fractions 82/24,309/54,148/848 is 937506

2 82, 309, 148
41, 309, 74

∴ So the LCM of the given numbers is 2 x 41 x 309 x 74 = 1875012

Least Common Multiple of 82,309,148 with GCF Formula

Least Common Multiple of 82,309,148 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 82,309,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,309,148) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,309,148) x common factors =1 x 2 = 2

LCM(82,309,148) = ( 82 × 309 × 148 ) / 2

LCM(82,309,148) = 3750024 / 2

LCM(82,309,148) = 1875012


Lets's calculate GCF of 24,54,848

2 24, 54, 848
12, 27, 424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1875012/2

Therefore the LCM of Fractions 82/24,309/54,148/848 is 937506

Greatest Common Factor of 24,54,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,54,848 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 24,54,848 . The biggest common factor number is the GCF number.
So the greatest common factor 24,54,848 is 2.


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 82/24, 309/54, 148/848

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 82/24, 309/54, 148/848?

Answer: LCM of Numerators as per given numbers 82/24, 309/54, 148/848 is

LCM of Numerators i.e. for 82,309,148 is 1875012

GCF of denominators i.e. for 24,54,848 is 2.

Thus, LCM of Fractions is 937506.Finally, LCM of Fractions for 82/24, 309/54, 148/848 is 937506.