Least Common Multiple of 754/82, 2301/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/82, 2301/468 quickly i.e. 66729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/82, 2301/468 is 66729.

LCM(754/82, 2301/468) = 66729

LCM of 754/82, 2301/468

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 754/82,2301/468

Given numbers are 754/82,2301/468

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 754,2301

Least Common Multiple of Numerators i.e. LCM of 754,2301 is 133458.

GCF of Denominators means GCF of 82,468 as per the given fractions.

GCF of 82,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,2301

LCM of Fractions 754/82,2301/468 is 66729

13 754, 2301
58, 177

∴ So the LCM of the given numbers is 13 x 58 x 177 = 133458

Least Common Multiple of 754,2301 with GCF Formula

Least Common Multiple of 754,2301 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 754,2301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2301) = 13

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

GCF(754,2301) x common factors =13 x 1 = 13

LCM(754,2301) = ( 754 × 2301 ) / 13

LCM(754,2301) = 1734954 / 13

LCM(754,2301) = 133458


Lets's calculate GCF of 82,468

2 82, 468
41, 234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133458/2

Therefore the LCM of Fractions 754/82,2301/468 is 66729

Greatest Common Factor of 82,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,468 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 82,468 . The biggest common factor number is the GCF number.
So the greatest common factor 82,468 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 754/82, 2301/468

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 754/82, 2301/468?

Answer: LCM of Numerators as per given numbers 754/82, 2301/468 is

LCM of Numerators i.e. for 754,2301 is 133458

GCF of denominators i.e. for 82,468 is 2.

Thus, LCM of Fractions is 66729.Finally, LCM of Fractions for 754/82, 2301/468 is 66729.