Least Common Multiple of 48/16, 58/32, 546/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/16, 58/32, 546/614 quickly i.e. 63336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/16, 58/32, 546/614 is 63336.

LCM(48/16, 58/32, 546/614) = 63336

LCM of 48/16, 58/32, 546/614

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 48/16,58/32,546/614

Given numbers are 48/16,58/32,546/614

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 48,58,546

Least Common Multiple of Numerators i.e. LCM of 48,58,546 is 126672.

GCF of Denominators means GCF of 16,32,614 as per the given fractions.

GCF of 16,32,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,58,546

LCM of Fractions 48/16,58/32,546/614 is 63336

2 48, 58, 546
3 24, 29, 273
8, 29, 91

∴ So the LCM of the given numbers is 2 x 3 x 8 x 29 x 91 = 126672

Least Common Multiple of 48,58,546 with GCF Formula

Least Common Multiple of 48,58,546 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 48,58,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,58,546) = 2

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

GCF(48,58,546) x common factors =2 x 6 = 12

LCM(48,58,546) = ( 48 × 58 × 546 ) / 12

LCM(48,58,546) = 1520064 / 12

LCM(48,58,546) = 126672


Lets's calculate GCF of 16,32,614

2 16, 32, 614
8, 16, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126672/2

Therefore the LCM of Fractions 48/16,58/32,546/614 is 63336

Greatest Common Factor of 16,32,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,32,614 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 32

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

1,2,4,8,16,32

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 16,32,614 . The biggest common factor number is the GCF number.
So the greatest common factor 16,32,614 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 48/16, 58/32, 546/614

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 48/16, 58/32, 546/614?

Answer: LCM of Numerators as per given numbers 48/16, 58/32, 546/614 is

LCM of Numerators i.e. for 48,58,546 is 126672

GCF of denominators i.e. for 16,32,614 is 2.

Thus, LCM of Fractions is 63336.Finally, LCM of Fractions for 48/16, 58/32, 546/614 is 63336.