Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 946/46, 290/8168 quickly i.e. 68585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 946/46, 290/8168 is 68585.
LCM(946/46, 290/8168) = 68585
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 946/46,290/8168
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 946,290
Least Common Multiple of Numerators i.e. LCM of 946,290 is 137170.
GCF of Denominators means GCF of 46,8168 as per the given fractions.
GCF of 46,8168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 946,290
2 | 946, 290 |
473, 145 |
∴ So the LCM of the given numbers is 2 x 473 x 145 = 137170
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 946,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(946,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(946,290) x common factors =2 x 1 = 2
LCM(946,290) = ( 946 × 290 ) / 2
LCM(946,290) = 274340 / 2
LCM(946,290) = 137170
Lets's calculate GCF of 46,8168
2 | 46, 8168 |
23, 4084 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137170/2
Therefore the LCM of Fractions 946/46,290/8168 is 68585
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 8168
List of positive integer factors of 8168 that divides 8168 without a remainder.
1,2,4,8,1021,2042,4084,8168
Greatest Common Factor
We found the factors 46,8168 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8168 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 946/46, 290/8168?
Answer: LCM of Numerators as per given numbers 946/46, 290/8168 is
LCM of Numerators i.e. for 946,290 is 137170
GCF of denominators i.e. for 46,8168 is 2.
Thus, LCM of Fractions is 68585.Finally, LCM of Fractions for 946/46, 290/8168 is 68585.