Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/225, 657/749, 342/921 quickly i.e. 199728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/225, 657/749, 342/921 is 199728.
LCM(48/225, 657/749, 342/921) = 199728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/225,657/749,342/921
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 48,657,342
Least Common Multiple of Numerators i.e. LCM of 48,657,342 is 199728.
GCF of Denominators means GCF of 225,749,921 as per the given fractions.
GCF of 225,749,921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,657,342
2 | 48, 657, 342 |
3 | 24, 657, 171 |
3 | 8, 219, 57 |
8, 73, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 73 x 19 = 199728
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 48,657,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,657,342) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(48,657,342) x common factors =3 x 18 = 54
LCM(48,657,342) = ( 48 × 657 × 342 ) / 54
LCM(48,657,342) = 10785312 / 54
LCM(48,657,342) = 199728
Lets's calculate GCF of 225,749,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199728/1
Therefore the LCM of Fractions 48/225,657/749,342/921 is 199728
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 225,749,921 . The biggest common factor number is the GCF number.
So the greatest common factor 225,749,921 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 48/225, 657/749, 342/921?
Answer: LCM of Numerators as per given numbers 48/225, 657/749, 342/921 is
LCM of Numerators i.e. for 48,657,342 is 199728
GCF of denominators i.e. for 225,749,921 is 1.
Thus, LCM of Fractions is 199728.Finally, LCM of Fractions for 48/225, 657/749, 342/921 is 199728.