Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/426, 25/737, 194/873 quickly i.e. 421950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/426, 25/737, 194/873 is 421950.
LCM(87/426, 25/737, 194/873) = 421950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/426,25/737,194/873
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 87,25,194
Least Common Multiple of Numerators i.e. LCM of 87,25,194 is 421950.
GCF of Denominators means GCF of 426,737,873 as per the given fractions.
GCF of 426,737,873 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,25,194
Given numbers has no common factors except 1. So, there LCM is their product i.e 421950
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 87,25,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,25,194) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,25,194) x common factors =1 x 1 = 1
LCM(87,25,194) = ( 87 × 25 × 194 ) / 1
LCM(87,25,194) = 421950 / 1
LCM(87,25,194) = 421950
Lets's calculate GCF of 426,737,873
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421950/1
Therefore the LCM of Fractions 87/426,25/737,194/873 is 421950
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Greatest Common Factor
We found the factors 426,737,873 . The biggest common factor number is the GCF number.
So the greatest common factor 426,737,873 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 87/426, 25/737, 194/873?
Answer: LCM of Numerators as per given numbers 87/426, 25/737, 194/873 is
LCM of Numerators i.e. for 87,25,194 is 421950
GCF of denominators i.e. for 426,737,873 is 1.
Thus, LCM of Fractions is 421950.Finally, LCM of Fractions for 87/426, 25/737, 194/873 is 421950.