Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/77, 65/86, 71/35, 22/152 quickly i.e. 3147430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/77, 65/86, 71/35, 22/152 is 3147430.
LCM(31/77, 65/86, 71/35, 22/152) = 3147430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/77,65/86,71/35,22/152
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 31,65,71,22
Least Common Multiple of Numerators i.e. LCM of 31,65,71,22 is 3147430.
GCF of Denominators means GCF of 77,86,35,152 as per the given fractions.
GCF of 77,86,35,152 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,65,71,22
Given numbers has no common factors except 1. So, there LCM is their product i.e 3147430
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 31,65,71,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,65,71,22) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,65,71,22) x common factors =1 x 1 = 1
LCM(31,65,71,22) = ( 31 × 65 × 71 × 22 ) / 1
LCM(31,65,71,22) = 3147430 / 1
LCM(31,65,71,22) = 3147430
Lets's calculate GCF of 77,86,35,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3147430/1
Therefore the LCM of Fractions 31/77,65/86,71/35,22/152 is 3147430
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 77,86,35,152 . The biggest common factor number is the GCF number.
So the greatest common factor 77,86,35,152 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 31/77, 65/86, 71/35, 22/152?
Answer: LCM of Numerators as per given numbers 31/77, 65/86, 71/35, 22/152 is
LCM of Numerators i.e. for 31,65,71,22 is 3147430
GCF of denominators i.e. for 77,86,35,152 is 1.
Thus, LCM of Fractions is 3147430.Finally, LCM of Fractions for 31/77, 65/86, 71/35, 22/152 is 3147430.