Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/136, 2067/7890 quickly i.e. 51675/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/136, 2067/7890 is 51675/2.
LCM(75/136, 2067/7890) = 51675/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/136,2067/7890
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 75,2067
Least Common Multiple of Numerators i.e. LCM of 75,2067 is 51675.
GCF of Denominators means GCF of 136,7890 as per the given fractions.
GCF of 136,7890 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,2067
3 | 75, 2067 |
25, 689 |
∴ So the LCM of the given numbers is 3 x 25 x 689 = 51675
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 75,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,2067) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,2067) x common factors =3 x 1 = 3
LCM(75,2067) = ( 75 × 2067 ) / 3
LCM(75,2067) = 155025 / 3
LCM(75,2067) = 51675
Lets's calculate GCF of 136,7890
2 | 136, 7890 |
68, 3945 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51675/2
Therefore the LCM of Fractions 75/136,2067/7890 is 51675/2
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 7890
List of positive integer factors of 7890 that divides 7890 without a remainder.
1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 136,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 136,7890 is 2.
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 75/136, 2067/7890?
Answer: LCM of Numerators as per given numbers 75/136, 2067/7890 is
LCM of Numerators i.e. for 75,2067 is 51675
GCF of denominators i.e. for 136,7890 is 2.
Thus, LCM of Fractions is 51675/2.Finally, LCM of Fractions for 75/136, 2067/7890 is 51675/2.