Least Common Multiple of 103/19, 496/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 103/19, 496/247 quickly i.e. 51088/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/19, 496/247 is 51088/19.

LCM(103/19, 496/247) = 51088/19

LCM of 103/19, 496/247

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 103/19,496/247

Given numbers are 103/19,496/247

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 103,496

Least Common Multiple of Numerators i.e. LCM of 103,496 is 51088.

GCF of Denominators means GCF of 19,247 as per the given fractions.

GCF of 19,247 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,496

LCM of Fractions 103/19,496/247 is 51088/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 51088

Least Common Multiple of 103,496 with GCF Formula

Least Common Multiple of 103,496 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 103,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,496) = 1

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

GCF(103,496) x common factors =1 x 1 = 1

LCM(103,496) = ( 103 × 496 ) / 1

LCM(103,496) = 51088 / 1

LCM(103,496) = 51088


Lets's calculate GCF of 19,247

19 19, 247
1, 13

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51088/19

Therefore the LCM of Fractions 103/19,496/247 is 51088/19

Greatest Common Factor of 19,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,247 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 19,247 . The biggest common factor number is the GCF number.
So the greatest common factor 19,247 is 19.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 103/19, 496/247

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 103/19, 496/247?

Answer: LCM of Numerators as per given numbers 103/19, 496/247 is

LCM of Numerators i.e. for 103,496 is 51088

GCF of denominators i.e. for 19,247 is 19.

Thus, LCM of Fractions is 51088/19.Finally, LCM of Fractions for 103/19, 496/247 is 51088/19.