Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/35, 35/25, 967/752 quickly i.e. 2267615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/35, 35/25, 967/752 is 2267615.
LCM(67/35, 35/25, 967/752) = 2267615
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/35,35/25,967/752
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 67,35,967
Least Common Multiple of Numerators i.e. LCM of 67,35,967 is 2267615.
GCF of Denominators means GCF of 35,25,752 as per the given fractions.
GCF of 35,25,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,35,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 2267615
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 67,35,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,35,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,35,967) x common factors =1 x 1 = 1
LCM(67,35,967) = ( 67 × 35 × 967 ) / 1
LCM(67,35,967) = 2267615 / 1
LCM(67,35,967) = 2267615
Lets's calculate GCF of 35,25,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2267615/1
Therefore the LCM of Fractions 67/35,35/25,967/752 is 2267615
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 35,25,752 . The biggest common factor number is the GCF number.
So the greatest common factor 35,25,752 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 67/35, 35/25, 967/752?
Answer: LCM of Numerators as per given numbers 67/35, 35/25, 967/752 is
LCM of Numerators i.e. for 67,35,967 is 2267615
GCF of denominators i.e. for 35,25,752 is 1.
Thus, LCM of Fractions is 2267615.Finally, LCM of Fractions for 67/35, 35/25, 967/752 is 2267615.