Least Common Multiple of 46/324, 7142/1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/324, 7142/1210 quickly i.e. 82133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/324, 7142/1210 is 82133.

LCM(46/324, 7142/1210) = 82133

LCM of 46/324, 7142/1210

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 46/324,7142/1210

Given numbers are 46/324,7142/1210

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 46,7142

Least Common Multiple of Numerators i.e. LCM of 46,7142 is 164266.

GCF of Denominators means GCF of 324,1210 as per the given fractions.

GCF of 324,1210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,7142

LCM of Fractions 46/324,7142/1210 is 82133

2 46, 7142
23, 3571

∴ So the LCM of the given numbers is 2 x 23 x 3571 = 164266

Least Common Multiple of 46,7142 with GCF Formula

Least Common Multiple of 46,7142 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 46,7142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,7142) = 2

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

GCF(46,7142) x common factors =2 x 1 = 2

LCM(46,7142) = ( 46 × 7142 ) / 2

LCM(46,7142) = 328532 / 2

LCM(46,7142) = 164266


Lets's calculate GCF of 324,1210

2 324, 1210
162, 605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164266/2

Therefore the LCM of Fractions 46/324,7142/1210 is 82133

Greatest Common Factor of 324,1210 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,1210 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210

Greatest Common Factor

We found the factors 324,1210 . The biggest common factor number is the GCF number.
So the greatest common factor 324,1210 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 46/324, 7142/1210

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 46/324, 7142/1210?

Answer: LCM of Numerators as per given numbers 46/324, 7142/1210 is

LCM of Numerators i.e. for 46,7142 is 164266

GCF of denominators i.e. for 324,1210 is 2.

Thus, LCM of Fractions is 82133.Finally, LCM of Fractions for 46/324, 7142/1210 is 82133.