Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/69, 573/96, 354/968 quickly i.e. 1690350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/69, 573/96, 354/968 is 1690350.
LCM(50/69, 573/96, 354/968) = 1690350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/69,573/96,354/968
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 50,573,354
Least Common Multiple of Numerators i.e. LCM of 50,573,354 is 1690350.
GCF of Denominators means GCF of 69,96,968 as per the given fractions.
GCF of 69,96,968 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,573,354
2 | 50, 573, 354 |
3 | 25, 573, 177 |
25, 191, 59 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 191 x 59 = 1690350
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 50,573,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,573,354) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(50,573,354) x common factors =1 x 6 = 6
LCM(50,573,354) = ( 50 × 573 × 354 ) / 6
LCM(50,573,354) = 10142100 / 6
LCM(50,573,354) = 1690350
Lets's calculate GCF of 69,96,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1690350/1
Therefore the LCM of Fractions 50/69,573/96,354/968 is 1690350
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 968
List of positive integer factors of 968 that divides 968 without a remainder.
1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 69,96,968 . The biggest common factor number is the GCF number.
So the greatest common factor 69,96,968 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 50/69, 573/96, 354/968?
Answer: LCM of Numerators as per given numbers 50/69, 573/96, 354/968 is
LCM of Numerators i.e. for 50,573,354 is 1690350
GCF of denominators i.e. for 69,96,968 is 1.
Thus, LCM of Fractions is 1690350.Finally, LCM of Fractions for 50/69, 573/96, 354/968 is 1690350.