Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/894, 526/811, 237/662 quickly i.e. 4612494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/894, 526/811, 237/662 is 4612494.
LCM(37/894, 526/811, 237/662) = 4612494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/894,526/811,237/662
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 37,526,237
Least Common Multiple of Numerators i.e. LCM of 37,526,237 is 4612494.
GCF of Denominators means GCF of 894,811,662 as per the given fractions.
GCF of 894,811,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,526,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 4612494
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 37,526,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,526,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,526,237) x common factors =1 x 1 = 1
LCM(37,526,237) = ( 37 × 526 × 237 ) / 1
LCM(37,526,237) = 4612494 / 1
LCM(37,526,237) = 4612494
Lets's calculate GCF of 894,811,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4612494/1
Therefore the LCM of Fractions 37/894,526/811,237/662 is 4612494
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 894,811,662 . The biggest common factor number is the GCF number.
So the greatest common factor 894,811,662 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 37/894, 526/811, 237/662?
Answer: LCM of Numerators as per given numbers 37/894, 526/811, 237/662 is
LCM of Numerators i.e. for 37,526,237 is 4612494
GCF of denominators i.e. for 894,811,662 is 1.
Thus, LCM of Fractions is 4612494.Finally, LCM of Fractions for 37/894, 526/811, 237/662 is 4612494.