Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/696, 7756/8150 quickly i.e. 360654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/696, 7756/8150 is 360654.
LCM(93/696, 7756/8150) = 360654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/696,7756/8150
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 93,7756
Least Common Multiple of Numerators i.e. LCM of 93,7756 is 721308.
GCF of Denominators means GCF of 696,8150 as per the given fractions.
GCF of 696,8150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,7756
Given numbers has no common factors except 1. So, there LCM is their product i.e 721308
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 93,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7756) x common factors =1 x 1 = 1
LCM(93,7756) = ( 93 × 7756 ) / 1
LCM(93,7756) = 721308 / 1
LCM(93,7756) = 721308
Lets's calculate GCF of 696,8150
2 | 696, 8150 |
348, 4075 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721308/2
Therefore the LCM of Fractions 93/696,7756/8150 is 360654
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 8150
List of positive integer factors of 8150 that divides 8150 without a remainder.
1,2,5,10,25,50,163,326,815,1630,4075,8150
Greatest Common Factor
We found the factors 696,8150 . The biggest common factor number is the GCF number.
So the greatest common factor 696,8150 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 93/696, 7756/8150?
Answer: LCM of Numerators as per given numbers 93/696, 7756/8150 is
LCM of Numerators i.e. for 93,7756 is 721308
GCF of denominators i.e. for 696,8150 is 2.
Thus, LCM of Fractions is 360654.Finally, LCM of Fractions for 93/696, 7756/8150 is 360654.