Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 619/91, 116/76, 625/574 quickly i.e. 44877500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 619/91, 116/76, 625/574 is 44877500.
LCM(619/91, 116/76, 625/574) = 44877500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 619/91,116/76,625/574
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 619,116,625
Least Common Multiple of Numerators i.e. LCM of 619,116,625 is 44877500.
GCF of Denominators means GCF of 91,76,574 as per the given fractions.
GCF of 91,76,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 619,116,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 44877500
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 619,116,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,116,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,116,625) x common factors =1 x 1 = 1
LCM(619,116,625) = ( 619 × 116 × 625 ) / 1
LCM(619,116,625) = 44877500 / 1
LCM(619,116,625) = 44877500
Lets's calculate GCF of 91,76,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44877500/1
Therefore the LCM of Fractions 619/91,116/76,625/574 is 44877500
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 91,76,574 . The biggest common factor number is the GCF number.
So the greatest common factor 91,76,574 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 619/91, 116/76, 625/574?
Answer: LCM of Numerators as per given numbers 619/91, 116/76, 625/574 is
LCM of Numerators i.e. for 619,116,625 is 44877500
GCF of denominators i.e. for 91,76,574 is 1.
Thus, LCM of Fractions is 44877500.Finally, LCM of Fractions for 619/91, 116/76, 625/574 is 44877500.