Least Common Multiple of 423/685, 1542/4132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/685, 1542/4132 quickly i.e. 217422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/685, 1542/4132 is 217422.

LCM(423/685, 1542/4132) = 217422

LCM of 423/685, 1542/4132

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 423/685,1542/4132

Given numbers are 423/685,1542/4132

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 423,1542

Least Common Multiple of Numerators i.e. LCM of 423,1542 is 217422.

GCF of Denominators means GCF of 685,4132 as per the given fractions.

GCF of 685,4132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,1542

LCM of Fractions 423/685,1542/4132 is 217422

3 423, 1542
141, 514

∴ So the LCM of the given numbers is 3 x 141 x 514 = 217422

Least Common Multiple of 423,1542 with GCF Formula

Least Common Multiple of 423,1542 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 423,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,1542) = 3

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

GCF(423,1542) x common factors =3 x 1 = 3

LCM(423,1542) = ( 423 × 1542 ) / 3

LCM(423,1542) = 652266 / 3

LCM(423,1542) = 217422


Lets's calculate GCF of 685,4132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217422/1

Therefore the LCM of Fractions 423/685,1542/4132 is 217422

Greatest Common Factor of 685,4132 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,4132 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1,2,4,1033,2066,4132

Greatest Common Factor

We found the factors 685,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 685,4132 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 423/685, 1542/4132

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 423/685, 1542/4132?

Answer: LCM of Numerators as per given numbers 423/685, 1542/4132 is

LCM of Numerators i.e. for 423,1542 is 217422

GCF of denominators i.e. for 685,4132 is 1.

Thus, LCM of Fractions is 217422.Finally, LCM of Fractions for 423/685, 1542/4132 is 217422.