Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/941, 998/379, 265/366 quickly i.e. 57918930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/941, 998/379, 265/366 is 57918930.
LCM(438/941, 998/379, 265/366) = 57918930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/941,998/379,265/366
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 438,998,265
Least Common Multiple of Numerators i.e. LCM of 438,998,265 is 57918930.
GCF of Denominators means GCF of 941,379,366 as per the given fractions.
GCF of 941,379,366 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,998,265
2 | 438, 998, 265 |
219, 499, 265 |
∴ So the LCM of the given numbers is 2 x 219 x 499 x 265 = 57918930
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 438,998,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,998,265) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(438,998,265) x common factors =1 x 2 = 2
LCM(438,998,265) = ( 438 × 998 × 265 ) / 2
LCM(438,998,265) = 115837860 / 2
LCM(438,998,265) = 57918930
Lets's calculate GCF of 941,379,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57918930/1
Therefore the LCM of Fractions 438/941,998/379,265/366 is 57918930
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 941,379,366 . The biggest common factor number is the GCF number.
So the greatest common factor 941,379,366 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 438/941, 998/379, 265/366?
Answer: LCM of Numerators as per given numbers 438/941, 998/379, 265/366 is
LCM of Numerators i.e. for 438,998,265 is 57918930
GCF of denominators i.e. for 941,379,366 is 1.
Thus, LCM of Fractions is 57918930.Finally, LCM of Fractions for 438/941, 998/379, 265/366 is 57918930.