Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/94, 86/31, 973/167 quickly i.e. 1673560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/94, 86/31, 973/167 is 1673560.
LCM(40/94, 86/31, 973/167) = 1673560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/94,86/31,973/167
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 40,86,973
Least Common Multiple of Numerators i.e. LCM of 40,86,973 is 1673560.
GCF of Denominators means GCF of 94,31,167 as per the given fractions.
GCF of 94,31,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,86,973
2 | 40, 86, 973 |
20, 43, 973 |
∴ So the LCM of the given numbers is 2 x 20 x 43 x 973 = 1673560
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 40,86,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,86,973) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(40,86,973) x common factors =1 x 2 = 2
LCM(40,86,973) = ( 40 × 86 × 973 ) / 2
LCM(40,86,973) = 3347120 / 2
LCM(40,86,973) = 1673560
Lets's calculate GCF of 94,31,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1673560/1
Therefore the LCM of Fractions 40/94,86/31,973/167 is 1673560
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 94,31,167 . The biggest common factor number is the GCF number.
So the greatest common factor 94,31,167 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 40/94, 86/31, 973/167?
Answer: LCM of Numerators as per given numbers 40/94, 86/31, 973/167 is
LCM of Numerators i.e. for 40,86,973 is 1673560
GCF of denominators i.e. for 94,31,167 is 1.
Thus, LCM of Fractions is 1673560.Finally, LCM of Fractions for 40/94, 86/31, 973/167 is 1673560.