Least Common Multiple of 55/48, 385/13, 112/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/48, 385/13, 112/600 quickly i.e. 6160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/48, 385/13, 112/600 is 6160.

LCM(55/48, 385/13, 112/600) = 6160

LCM of 55/48, 385/13, 112/600

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 55/48,385/13,112/600

Given numbers are 55/48,385/13,112/600

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 55,385,112

Least Common Multiple of Numerators i.e. LCM of 55,385,112 is 6160.

GCF of Denominators means GCF of 48,13,600 as per the given fractions.

GCF of 48,13,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,385,112

LCM of Fractions 55/48,385/13,112/600 is 6160

5 55, 385, 112
7 11, 77, 112
11 11, 11, 16
1, 1, 16

∴ So the LCM of the given numbers is 5 x 7 x 11 x 1 x 1 x 16 = 6160

Least Common Multiple of 55,385,112 with GCF Formula

Least Common Multiple of 55,385,112 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 55,385,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,385,112) = 1

common factors(in case of two or more numbers have common factors) = 385

GCF(55,385,112) x common factors =1 x 385 = 385

LCM(55,385,112) = ( 55 × 385 × 112 ) / 385

LCM(55,385,112) = 2371600 / 385

LCM(55,385,112) = 6160


Lets's calculate GCF of 48,13,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6160/1

Therefore the LCM of Fractions 55/48,385/13,112/600 is 6160

Greatest Common Factor of 48,13,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,13,600 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 48,13,600 . The biggest common factor number is the GCF number.
So the greatest common factor 48,13,600 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 55/48, 385/13, 112/600

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 55/48, 385/13, 112/600?

Answer: LCM of Numerators as per given numbers 55/48, 385/13, 112/600 is

LCM of Numerators i.e. for 55,385,112 is 6160

GCF of denominators i.e. for 48,13,600 is 1.

Thus, LCM of Fractions is 6160.Finally, LCM of Fractions for 55/48, 385/13, 112/600 is 6160.