Least Common Multiple of 2/46, 1/32, 7/49, 78/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/46, 1/32, 7/49, 78/184 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/46, 1/32, 7/49, 78/184 is 546.

LCM(2/46, 1/32, 7/49, 78/184) = 546

LCM of 2/46, 1/32, 7/49, 78/184

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 2/46,1/32,7/49,78/184

Given numbers are 2/46,1/32,7/49,78/184

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 2,1,7,78

Least Common Multiple of Numerators i.e. LCM of 2,1,7,78 is 546.

GCF of Denominators means GCF of 46,32,49,184 as per the given fractions.

GCF of 46,32,49,184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,1,7,78

LCM of Fractions 2/46,1/32,7/49,78/184 is 546

2 2, 1, 7, 78
1, 1, 7, 39

∴ So the LCM of the given numbers is 2 x 1 x 1 x 7 x 39 = 546

Least Common Multiple of 2,1,7,78 with GCF Formula

Least Common Multiple of 2,1,7,78 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 2,1,7,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,1,7,78) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(2,1,7,78) x common factors =1 x 2 = 2

LCM(2,1,7,78) = ( 2 × 1 × 7 × 78 ) / 2

LCM(2,1,7,78) = 1092 / 2

LCM(2,1,7,78) = 546


Lets's calculate GCF of 46,32,49,184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1

Therefore the LCM of Fractions 2/46,1/32,7/49,78/184 is 546

Greatest Common Factor of 46,32,49,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,32,49,184 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 46,32,49,184 . The biggest common factor number is the GCF number.
So the greatest common factor 46,32,49,184 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 2/46, 1/32, 7/49, 78/184

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 2/46, 1/32, 7/49, 78/184?

Answer: LCM of Numerators as per given numbers 2/46, 1/32, 7/49, 78/184 is

LCM of Numerators i.e. for 2,1,7,78 is 546

GCF of denominators i.e. for 46,32,49,184 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 2/46, 1/32, 7/49, 78/184 is 546.