Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/794, 44/629, 994/534 quickly i.e. 502964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/794, 44/629, 994/534 is 502964.
LCM(92/794, 44/629, 994/534) = 502964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/794,44/629,994/534
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 92,44,994
Least Common Multiple of Numerators i.e. LCM of 92,44,994 is 502964.
GCF of Denominators means GCF of 794,629,534 as per the given fractions.
GCF of 794,629,534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,44,994
2 | 92, 44, 994 |
2 | 46, 22, 497 |
23, 11, 497 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 11 x 497 = 502964
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 92,44,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,44,994) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(92,44,994) x common factors =2 x 4 = 8
LCM(92,44,994) = ( 92 × 44 × 994 ) / 8
LCM(92,44,994) = 4023712 / 8
LCM(92,44,994) = 502964
Lets's calculate GCF of 794,629,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502964/1
Therefore the LCM of Fractions 92/794,44/629,994/534 is 502964
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 794,629,534 . The biggest common factor number is the GCF number.
So the greatest common factor 794,629,534 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 92/794, 44/629, 994/534?
Answer: LCM of Numerators as per given numbers 92/794, 44/629, 994/534 is
LCM of Numerators i.e. for 92,44,994 is 502964
GCF of denominators i.e. for 794,629,534 is 1.
Thus, LCM of Fractions is 502964.Finally, LCM of Fractions for 92/794, 44/629, 994/534 is 502964.