Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/261, 92/683, 940/974 quickly i.e. 670220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/261, 92/683, 940/974 is 670220.
LCM(31/261, 92/683, 940/974) = 670220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/261,92/683,940/974
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 31,92,940
Least Common Multiple of Numerators i.e. LCM of 31,92,940 is 670220.
GCF of Denominators means GCF of 261,683,974 as per the given fractions.
GCF of 261,683,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,92,940
2 | 31, 92, 940 |
2 | 31, 46, 470 |
31, 23, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 23 x 235 = 670220
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 31,92,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,92,940) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(31,92,940) x common factors =1 x 4 = 4
LCM(31,92,940) = ( 31 × 92 × 940 ) / 4
LCM(31,92,940) = 2680880 / 4
LCM(31,92,940) = 670220
Lets's calculate GCF of 261,683,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670220/1
Therefore the LCM of Fractions 31/261,92/683,940/974 is 670220
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 261,683,974 . The biggest common factor number is the GCF number.
So the greatest common factor 261,683,974 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 31/261, 92/683, 940/974?
Answer: LCM of Numerators as per given numbers 31/261, 92/683, 940/974 is
LCM of Numerators i.e. for 31,92,940 is 670220
GCF of denominators i.e. for 261,683,974 is 1.
Thus, LCM of Fractions is 670220.Finally, LCM of Fractions for 31/261, 92/683, 940/974 is 670220.