Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/32, 38/21, 68/66, 31/423 quickly i.e. 921196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/32, 38/21, 68/66, 31/423 is 921196.
LCM(92/32, 38/21, 68/66, 31/423) = 921196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/32,38/21,68/66,31/423
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 92,38,68,31
Least Common Multiple of Numerators i.e. LCM of 92,38,68,31 is 921196.
GCF of Denominators means GCF of 32,21,66,423 as per the given fractions.
GCF of 32,21,66,423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,38,68,31
2 | 92, 38, 68, 31 |
2 | 46, 19, 34, 31 |
23, 19, 17, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 17 x 31 = 921196
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 92,38,68,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,38,68,31) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(92,38,68,31) x common factors =1 x 8 = 8
LCM(92,38,68,31) = ( 92 × 38 × 68 × 31 ) / 8
LCM(92,38,68,31) = 7369568 / 8
LCM(92,38,68,31) = 921196
Lets's calculate GCF of 32,21,66,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 921196/1
Therefore the LCM of Fractions 92/32,38/21,68/66,31/423 is 921196
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 32,21,66,423 . The biggest common factor number is the GCF number.
So the greatest common factor 32,21,66,423 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 92/32, 38/21, 68/66, 31/423?
Answer: LCM of Numerators as per given numbers 92/32, 38/21, 68/66, 31/423 is
LCM of Numerators i.e. for 92,38,68,31 is 921196
GCF of denominators i.e. for 32,21,66,423 is 1.
Thus, LCM of Fractions is 921196.Finally, LCM of Fractions for 92/32, 38/21, 68/66, 31/423 is 921196.