Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/894, 7724/8818 quickly i.e. 142894 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, 7724/8818 is 142894.
LCM(37/894, 7724/8818) = 142894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/894,7724/8818
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 37,7724
Least Common Multiple of Numerators i.e. LCM of 37,7724 is 285788.
GCF of Denominators means GCF of 894,8818 as per the given fractions.
GCF of 894,8818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,7724
Given numbers has no common factors except 1. So, there LCM is their product i.e 285788
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 37,7724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,7724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,7724) x common factors =1 x 1 = 1
LCM(37,7724) = ( 37 × 7724 ) / 1
LCM(37,7724) = 285788 / 1
LCM(37,7724) = 285788
Lets's calculate GCF of 894,8818
2 | 894, 8818 |
447, 4409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285788/2
Therefore the LCM of Fractions 37/894,7724/8818 is 142894
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 8818
List of positive integer factors of 8818 that divides 8818 without a remainder.
1,2,4409,8818
Greatest Common Factor
We found the factors 894,8818 . The biggest common factor number is the GCF number.
So the greatest common factor 894,8818 is 2.
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, 7724/8818?
Answer: LCM of Numerators as per given numbers 37/894, 7724/8818 is
LCM of Numerators i.e. for 37,7724 is 285788
GCF of denominators i.e. for 894,8818 is 2.
Thus, LCM of Fractions is 142894.Finally, LCM of Fractions for 37/894, 7724/8818 is 142894.