Least Common Multiple of 103/40, 663/70, 496/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/40, 663/70, 496/484 quickly i.e. 16935672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/40, 663/70, 496/484 is 16935672.

LCM(103/40, 663/70, 496/484) = 16935672

LCM of 103/40, 663/70, 496/484

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 103/40,663/70,496/484

Given numbers are 103/40,663/70,496/484

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 103,663,496

Least Common Multiple of Numerators i.e. LCM of 103,663,496 is 33871344.

GCF of Denominators means GCF of 40,70,484 as per the given fractions.

GCF of 40,70,484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,663,496

LCM of Fractions 103/40,663/70,496/484 is 16935672

Given numbers has no common factors except 1. So, there LCM is their product i.e 33871344

Least Common Multiple of 103,663,496 with GCF Formula

Least Common Multiple of 103,663,496 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 103,663,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,663,496) = 1

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

GCF(103,663,496) x common factors =1 x 1 = 1

LCM(103,663,496) = ( 103 × 663 × 496 ) / 1

LCM(103,663,496) = 33871344 / 1

LCM(103,663,496) = 33871344


Lets's calculate GCF of 40,70,484

2 40, 70, 484
20, 35, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33871344/2

Therefore the LCM of Fractions 103/40,663/70,496/484 is 16935672

Greatest Common Factor of 40,70,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,70,484 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 40,70,484 . The biggest common factor number is the GCF number.
So the greatest common factor 40,70,484 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 103/40, 663/70, 496/484

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 103/40, 663/70, 496/484?

Answer: LCM of Numerators as per given numbers 103/40, 663/70, 496/484 is

LCM of Numerators i.e. for 103,663,496 is 33871344

GCF of denominators i.e. for 40,70,484 is 2.

Thus, LCM of Fractions is 16935672.Finally, LCM of Fractions for 103/40, 663/70, 496/484 is 16935672.