Least Common Multiple of 112/48, 206/9410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/48, 206/9410 quickly i.e. 5768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/48, 206/9410 is 5768.

LCM(112/48, 206/9410) = 5768

LCM of 112/48, 206/9410

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 112/48,206/9410

Given numbers are 112/48,206/9410

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 112,206

Least Common Multiple of Numerators i.e. LCM of 112,206 is 11536.

GCF of Denominators means GCF of 48,9410 as per the given fractions.

GCF of 48,9410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,206

LCM of Fractions 112/48,206/9410 is 5768

2 112, 206
56, 103

∴ So the LCM of the given numbers is 2 x 56 x 103 = 11536

Least Common Multiple of 112,206 with GCF Formula

Least Common Multiple of 112,206 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 112,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,206) = 2

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

GCF(112,206) x common factors =2 x 1 = 2

LCM(112,206) = ( 112 × 206 ) / 2

LCM(112,206) = 23072 / 2

LCM(112,206) = 11536


Lets's calculate GCF of 48,9410

2 48, 9410
24, 4705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11536/2

Therefore the LCM of Fractions 112/48,206/9410 is 5768

Greatest Common Factor of 48,9410 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,9410 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 9410

List of positive integer factors of 9410 that divides 9410 without a remainder.

1,2,5,10,941,1882,4705,9410

Greatest Common Factor

We found the factors 48,9410 . The biggest common factor number is the GCF number.
So the greatest common factor 48,9410 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 112/48, 206/9410

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 112/48, 206/9410?

Answer: LCM of Numerators as per given numbers 112/48, 206/9410 is

LCM of Numerators i.e. for 112,206 is 11536

GCF of denominators i.e. for 48,9410 is 2.

Thus, LCM of Fractions is 5768.Finally, LCM of Fractions for 112/48, 206/9410 is 5768.