Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/301, 60/366, 237/940 quickly i.e. 194340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/301, 60/366, 237/940 is 194340.
LCM(82/301, 60/366, 237/940) = 194340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/301,60/366,237/940
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 82,60,237
Least Common Multiple of Numerators i.e. LCM of 82,60,237 is 194340.
GCF of Denominators means GCF of 301,366,940 as per the given fractions.
GCF of 301,366,940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,60,237
2 | 82, 60, 237 |
3 | 41, 30, 237 |
41, 10, 79 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 10 x 79 = 194340
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 82,60,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,60,237) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,60,237) x common factors =1 x 6 = 6
LCM(82,60,237) = ( 82 × 60 × 237 ) / 6
LCM(82,60,237) = 1166040 / 6
LCM(82,60,237) = 194340
Lets's calculate GCF of 301,366,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194340/1
Therefore the LCM of Fractions 82/301,60/366,237/940 is 194340
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 301,366,940 . The biggest common factor number is the GCF number.
So the greatest common factor 301,366,940 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 82/301, 60/366, 237/940?
Answer: LCM of Numerators as per given numbers 82/301, 60/366, 237/940 is
LCM of Numerators i.e. for 82,60,237 is 194340
GCF of denominators i.e. for 301,366,940 is 1.
Thus, LCM of Fractions is 194340.Finally, LCM of Fractions for 82/301, 60/366, 237/940 is 194340.