Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/67, 116/25, 787/452 quickly i.e. 8672740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/67, 116/25, 787/452 is 8672740.
LCM(95/67, 116/25, 787/452) = 8672740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/67,116/25,787/452
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 95,116,787
Least Common Multiple of Numerators i.e. LCM of 95,116,787 is 8672740.
GCF of Denominators means GCF of 67,25,452 as per the given fractions.
GCF of 67,25,452 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,116,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 8672740
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 95,116,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,116,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,116,787) x common factors =1 x 1 = 1
LCM(95,116,787) = ( 95 × 116 × 787 ) / 1
LCM(95,116,787) = 8672740 / 1
LCM(95,116,787) = 8672740
Lets's calculate GCF of 67,25,452
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8672740/1
Therefore the LCM of Fractions 95/67,116/25,787/452 is 8672740
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 67,25,452 . The biggest common factor number is the GCF number.
So the greatest common factor 67,25,452 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 95/67, 116/25, 787/452?
Answer: LCM of Numerators as per given numbers 95/67, 116/25, 787/452 is
LCM of Numerators i.e. for 95,116,787 is 8672740
GCF of denominators i.e. for 67,25,452 is 1.
Thus, LCM of Fractions is 8672740.Finally, LCM of Fractions for 95/67, 116/25, 787/452 is 8672740.