Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/36, 806/91, 373/94 quickly i.e. 144907516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/36, 806/91, 373/94 is 144907516.
LCM(964/36, 806/91, 373/94) = 144907516
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/36,806/91,373/94
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 964,806,373
Least Common Multiple of Numerators i.e. LCM of 964,806,373 is 144907516.
GCF of Denominators means GCF of 36,91,94 as per the given fractions.
GCF of 36,91,94 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,806,373
2 | 964, 806, 373 |
482, 403, 373 |
∴ So the LCM of the given numbers is 2 x 482 x 403 x 373 = 144907516
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 964,806,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,806,373) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(964,806,373) x common factors =1 x 2 = 2
LCM(964,806,373) = ( 964 × 806 × 373 ) / 2
LCM(964,806,373) = 289815032 / 2
LCM(964,806,373) = 144907516
Lets's calculate GCF of 36,91,94
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144907516/1
Therefore the LCM of Fractions 964/36,806/91,373/94 is 144907516
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 36,91,94 . The biggest common factor number is the GCF number.
So the greatest common factor 36,91,94 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 964/36, 806/91, 373/94?
Answer: LCM of Numerators as per given numbers 964/36, 806/91, 373/94 is
LCM of Numerators i.e. for 964,806,373 is 144907516
GCF of denominators i.e. for 36,91,94 is 1.
Thus, LCM of Fractions is 144907516.Finally, LCM of Fractions for 964/36, 806/91, 373/94 is 144907516.