Least Common Multiple of 46/66, 67/92, 92/44, 75/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/66, 67/92, 92/44, 75/540 quickly i.e. 231150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/66, 67/92, 92/44, 75/540 is 231150.

LCM(46/66, 67/92, 92/44, 75/540) = 231150

LCM of 46/66, 67/92, 92/44, 75/540

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 46/66,67/92,92/44,75/540

Given numbers are 46/66,67/92,92/44,75/540

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 46,67,92,75

Least Common Multiple of Numerators i.e. LCM of 46,67,92,75 is 462300.

GCF of Denominators means GCF of 66,92,44,540 as per the given fractions.

GCF of 66,92,44,540 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,67,92,75

LCM of Fractions 46/66,67/92,92/44,75/540 is 231150

2 46, 67, 92, 75
23 23, 67, 46, 75
1, 67, 2, 75

∴ So the LCM of the given numbers is 2 x 23 x 1 x 67 x 2 x 75 = 462300

Least Common Multiple of 46,67,92,75 with GCF Formula

Least Common Multiple of 46,67,92,75 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 46,67,92,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,67,92,75) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(46,67,92,75) x common factors =1 x 46 = 46

LCM(46,67,92,75) = ( 46 × 67 × 92 × 75 ) / 46

LCM(46,67,92,75) = 21265800 / 46

LCM(46,67,92,75) = 462300


Lets's calculate GCF of 66,92,44,540

2 66, 92, 44, 540
33, 46, 22, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462300/2

Therefore the LCM of Fractions 46/66,67/92,92/44,75/540 is 231150

Greatest Common Factor of 66,92,44,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,92,44,540 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 66,92,44,540 . The biggest common factor number is the GCF number.
So the greatest common factor 66,92,44,540 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 46/66, 67/92, 92/44, 75/540

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 46/66, 67/92, 92/44, 75/540?

Answer: LCM of Numerators as per given numbers 46/66, 67/92, 92/44, 75/540 is

LCM of Numerators i.e. for 46,67,92,75 is 462300

GCF of denominators i.e. for 66,92,44,540 is 2.

Thus, LCM of Fractions is 231150.Finally, LCM of Fractions for 46/66, 67/92, 92/44, 75/540 is 231150.