Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/415, 742/31, 738/710 quickly i.e. 2190384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/415, 742/31, 738/710 is 2190384.
LCM(48/415, 742/31, 738/710) = 2190384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/415,742/31,738/710
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 48,742,738
Least Common Multiple of Numerators i.e. LCM of 48,742,738 is 2190384.
GCF of Denominators means GCF of 415,31,710 as per the given fractions.
GCF of 415,31,710 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,742,738
2 | 48, 742, 738 |
3 | 24, 371, 369 |
8, 371, 123 |
∴ So the LCM of the given numbers is 2 x 3 x 8 x 371 x 123 = 2190384
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 48,742,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,742,738) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(48,742,738) x common factors =2 x 6 = 12
LCM(48,742,738) = ( 48 × 742 × 738 ) / 12
LCM(48,742,738) = 26284608 / 12
LCM(48,742,738) = 2190384
Lets's calculate GCF of 415,31,710
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2190384/1
Therefore the LCM of Fractions 48/415,742/31,738/710 is 2190384
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 415,31,710 . The biggest common factor number is the GCF number.
So the greatest common factor 415,31,710 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 48/415, 742/31, 738/710?
Answer: LCM of Numerators as per given numbers 48/415, 742/31, 738/710 is
LCM of Numerators i.e. for 48,742,738 is 2190384
GCF of denominators i.e. for 415,31,710 is 1.
Thus, LCM of Fractions is 2190384.Finally, LCM of Fractions for 48/415, 742/31, 738/710 is 2190384.