Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/738, 65/102 quickly i.e. 975/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/738, 65/102 is 975/6.
LCM(75/738, 65/102) = 975/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/738,65/102
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 75,65
Least Common Multiple of Numerators i.e. LCM of 75,65 is 975.
GCF of Denominators means GCF of 738,102 as per the given fractions.
GCF of 738,102 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,65
5 | 75, 65 |
15, 13 |
∴ So the LCM of the given numbers is 5 x 15 x 13 = 975
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 75,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,65) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(75,65) x common factors =5 x 1 = 5
LCM(75,65) = ( 75 × 65 ) / 5
LCM(75,65) = 4875 / 5
LCM(75,65) = 975
Lets's calculate GCF of 738,102
2 | 738, 102 |
3 | 369, 51 |
123, 17 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 975/6
Therefore the LCM of Fractions 75/738,65/102 is 975/6
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 738,102 . The biggest common factor number is the GCF number.
So the greatest common factor 738,102 is 6.
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 75/738, 65/102?
Answer: LCM of Numerators as per given numbers 75/738, 65/102 is
LCM of Numerators i.e. for 75,65 is 975
GCF of denominators i.e. for 738,102 is 6.
Thus, LCM of Fractions is 975/6.Finally, LCM of Fractions for 75/738, 65/102 is 975/6.