Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/102, 45/748 quickly i.e. 585/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/102, 45/748 is 585/34.
LCM(39/102, 45/748) = 585/34
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/102,45/748
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 39,45
Least Common Multiple of Numerators i.e. LCM of 39,45 is 585.
GCF of Denominators means GCF of 102,748 as per the given fractions.
GCF of 102,748 is 34 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,45
3 | 39, 45 |
13, 15 |
∴ So the LCM of the given numbers is 3 x 13 x 15 = 585
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 39,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,45) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(39,45) x common factors =3 x 1 = 3
LCM(39,45) = ( 39 × 45 ) / 3
LCM(39,45) = 1755 / 3
LCM(39,45) = 585
Lets's calculate GCF of 102,748
2 | 102, 748 |
17 | 51, 374 |
3, 22 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585/34
Therefore the LCM of Fractions 39/102,45/748 is 585/34
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 102,748 . The biggest common factor number is the GCF number.
So the greatest common factor 102,748 is 34.
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 39/102, 45/748?
Answer: LCM of Numerators as per given numbers 39/102, 45/748 is
LCM of Numerators i.e. for 39,45 is 585
GCF of denominators i.e. for 102,748 is 34.
Thus, LCM of Fractions is 585/34.Finally, LCM of Fractions for 39/102, 45/748 is 585/34.