Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/665, 81/850, 425/126 quickly i.e. 1514700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/665, 81/850, 425/126 is 1514700.
LCM(44/665, 81/850, 425/126) = 1514700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/665,81/850,425/126
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 44,81,425
Least Common Multiple of Numerators i.e. LCM of 44,81,425 is 1514700.
GCF of Denominators means GCF of 665,850,126 as per the given fractions.
GCF of 665,850,126 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,81,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 1514700
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 44,81,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,81,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,81,425) x common factors =1 x 1 = 1
LCM(44,81,425) = ( 44 × 81 × 425 ) / 1
LCM(44,81,425) = 1514700 / 1
LCM(44,81,425) = 1514700
Lets's calculate GCF of 665,850,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1514700/1
Therefore the LCM of Fractions 44/665,81/850,425/126 is 1514700
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 665,850,126 . The biggest common factor number is the GCF number.
So the greatest common factor 665,850,126 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 44/665, 81/850, 425/126?
Answer: LCM of Numerators as per given numbers 44/665, 81/850, 425/126 is
LCM of Numerators i.e. for 44,81,425 is 1514700
GCF of denominators i.e. for 665,850,126 is 1.
Thus, LCM of Fractions is 1514700.Finally, LCM of Fractions for 44/665, 81/850, 425/126 is 1514700.