Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 843/68, 861/96, 356/474 quickly i.e. 43065498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 843/68, 861/96, 356/474 is 43065498.
LCM(843/68, 861/96, 356/474) = 43065498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 843/68,861/96,356/474
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 843,861,356
Least Common Multiple of Numerators i.e. LCM of 843,861,356 is 86130996.
GCF of Denominators means GCF of 68,96,474 as per the given fractions.
GCF of 68,96,474 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 843,861,356
3 | 843, 861, 356 |
281, 287, 356 |
∴ So the LCM of the given numbers is 3 x 281 x 287 x 356 = 86130996
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 843,861,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,861,356) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(843,861,356) x common factors =1 x 3 = 3
LCM(843,861,356) = ( 843 × 861 × 356 ) / 3
LCM(843,861,356) = 258392988 / 3
LCM(843,861,356) = 86130996
Lets's calculate GCF of 68,96,474
2 | 68, 96, 474 |
34, 48, 237 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86130996/2
Therefore the LCM of Fractions 843/68,861/96,356/474 is 43065498
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
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 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 68,96,474 . The biggest common factor number is the GCF number.
So the greatest common factor 68,96,474 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 843/68, 861/96, 356/474?
Answer: LCM of Numerators as per given numbers 843/68, 861/96, 356/474 is
LCM of Numerators i.e. for 843,861,356 is 86130996
GCF of denominators i.e. for 68,96,474 is 2.
Thus, LCM of Fractions is 43065498.Finally, LCM of Fractions for 843/68, 861/96, 356/474 is 43065498.