Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 922/63, 313/86, 735/172 quickly i.e. 212110710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 922/63, 313/86, 735/172 is 212110710.
LCM(922/63, 313/86, 735/172) = 212110710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 922/63,313/86,735/172
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 922,313,735
Least Common Multiple of Numerators i.e. LCM of 922,313,735 is 212110710.
GCF of Denominators means GCF of 63,86,172 as per the given fractions.
GCF of 63,86,172 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 922,313,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 212110710
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 922,313,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,313,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,313,735) x common factors =1 x 1 = 1
LCM(922,313,735) = ( 922 × 313 × 735 ) / 1
LCM(922,313,735) = 212110710 / 1
LCM(922,313,735) = 212110710
Lets's calculate GCF of 63,86,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212110710/1
Therefore the LCM of Fractions 922/63,313/86,735/172 is 212110710
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 63,86,172 . The biggest common factor number is the GCF number.
So the greatest common factor 63,86,172 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 922/63, 313/86, 735/172?
Answer: LCM of Numerators as per given numbers 922/63, 313/86, 735/172 is
LCM of Numerators i.e. for 922,313,735 is 212110710
GCF of denominators i.e. for 63,86,172 is 1.
Thus, LCM of Fractions is 212110710.Finally, LCM of Fractions for 922/63, 313/86, 735/172 is 212110710.