Least Common Multiple of 37/46, 54/12, 84/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/46, 54/12, 84/263 quickly i.e. 27972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/46, 54/12, 84/263 is 27972.

LCM(37/46, 54/12, 84/263) = 27972

LCM of 37/46, 54/12, 84/263

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 37/46,54/12,84/263

Given numbers are 37/46,54/12,84/263

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 37,54,84

Least Common Multiple of Numerators i.e. LCM of 37,54,84 is 27972.

GCF of Denominators means GCF of 46,12,263 as per the given fractions.

GCF of 46,12,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,54,84

LCM of Fractions 37/46,54/12,84/263 is 27972

2 37, 54, 84
3 37, 27, 42
37, 9, 14

∴ So the LCM of the given numbers is 2 x 3 x 37 x 9 x 14 = 27972

Least Common Multiple of 37,54,84 with GCF Formula

Least Common Multiple of 37,54,84 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 37,54,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,54,84) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(37,54,84) x common factors =1 x 6 = 6

LCM(37,54,84) = ( 37 × 54 × 84 ) / 6

LCM(37,54,84) = 167832 / 6

LCM(37,54,84) = 27972


Lets's calculate GCF of 46,12,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27972/1

Therefore the LCM of Fractions 37/46,54/12,84/263 is 27972

Greatest Common Factor of 46,12,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,12,263 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 46,12,263 . The biggest common factor number is the GCF number.
So the greatest common factor 46,12,263 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 37/46, 54/12, 84/263

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 37/46, 54/12, 84/263?

Answer: LCM of Numerators as per given numbers 37/46, 54/12, 84/263 is

LCM of Numerators i.e. for 37,54,84 is 27972

GCF of denominators i.e. for 46,12,263 is 1.

Thus, LCM of Fractions is 27972.Finally, LCM of Fractions for 37/46, 54/12, 84/263 is 27972.