Least Common Multiple of 4848/85, 2112/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4848/85, 2112/713 quickly i.e. 213312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4848/85, 2112/713 is 213312.

LCM(4848/85, 2112/713) = 213312

LCM of 4848/85, 2112/713

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 4848/85,2112/713

Given numbers are 4848/85,2112/713

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 4848,2112

Least Common Multiple of Numerators i.e. LCM of 4848,2112 is 213312.

GCF of Denominators means GCF of 85,713 as per the given fractions.

GCF of 85,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4848,2112

LCM of Fractions 4848/85,2112/713 is 213312

2 4848, 2112
2 2424, 1056
2 1212, 528
2 606, 264
3 303, 132
101, 44

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 101 x 44 = 213312

Least Common Multiple of 4848,2112 with GCF Formula

Least Common Multiple of 4848,2112 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 4848,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4848,2112) = 48

common factors(in case of two or more numbers have common factors) = 1

GCF(4848,2112) x common factors =48 x 1 = 48

LCM(4848,2112) = ( 4848 × 2112 ) / 48

LCM(4848,2112) = 10238976 / 48

LCM(4848,2112) = 213312


Lets's calculate GCF of 85,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213312/1

Therefore the LCM of Fractions 4848/85,2112/713 is 213312

Greatest Common Factor of 85,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,713 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 85,713 . The biggest common factor number is the GCF number.
So the greatest common factor 85,713 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 4848/85, 2112/713

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 4848/85, 2112/713?

Answer: LCM of Numerators as per given numbers 4848/85, 2112/713 is

LCM of Numerators i.e. for 4848,2112 is 213312

GCF of denominators i.e. for 85,713 is 1.

Thus, LCM of Fractions is 213312.Finally, LCM of Fractions for 4848/85, 2112/713 is 213312.