Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/946, 302/382 quickly i.e. 35787 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/946, 302/382 is 35787.
LCM(237/946, 302/382) = 35787
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/946,302/382
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 237,302
Least Common Multiple of Numerators i.e. LCM of 237,302 is 71574.
GCF of Denominators means GCF of 946,382 as per the given fractions.
GCF of 946,382 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 71574
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 237,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,302) x common factors =1 x 1 = 1
LCM(237,302) = ( 237 × 302 ) / 1
LCM(237,302) = 71574 / 1
LCM(237,302) = 71574
Lets's calculate GCF of 946,382
2 | 946, 382 |
473, 191 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71574/2
Therefore the LCM of Fractions 237/946,302/382 is 35787
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 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 946,382 . The biggest common factor number is the GCF number.
So the greatest common factor 946,382 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 237/946, 302/382?
Answer: LCM of Numerators as per given numbers 237/946, 302/382 is
LCM of Numerators i.e. for 237,302 is 71574
GCF of denominators i.e. for 946,382 is 2.
Thus, LCM of Fractions is 35787.Finally, LCM of Fractions for 237/946, 302/382 is 35787.