Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/946, 8051/656 quickly i.e. 1320364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/946, 8051/656 is 1320364.
LCM(328/946, 8051/656) = 1320364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/946,8051/656
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 328,8051
Least Common Multiple of Numerators i.e. LCM of 328,8051 is 2640728.
GCF of Denominators means GCF of 946,656 as per the given fractions.
GCF of 946,656 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,8051
Given numbers has no common factors except 1. So, there LCM is their product i.e 2640728
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 328,8051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,8051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,8051) x common factors =1 x 1 = 1
LCM(328,8051) = ( 328 × 8051 ) / 1
LCM(328,8051) = 2640728 / 1
LCM(328,8051) = 2640728
Lets's calculate GCF of 946,656
2 | 946, 656 |
473, 328 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2640728/2
Therefore the LCM of Fractions 328/946,8051/656 is 1320364
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 946,656 . The biggest common factor number is the GCF number.
So the greatest common factor 946,656 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 328/946, 8051/656?
Answer: LCM of Numerators as per given numbers 328/946, 8051/656 is
LCM of Numerators i.e. for 328,8051 is 2640728
GCF of denominators i.e. for 946,656 is 2.
Thus, LCM of Fractions is 1320364.Finally, LCM of Fractions for 328/946, 8051/656 is 1320364.