Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 922/380, 167/185, 665/685 quickly i.e. 20478542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 922/380, 167/185, 665/685 is 20478542.
LCM(922/380, 167/185, 665/685) = 20478542
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 922/380,167/185,665/685
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 922,167,665
Least Common Multiple of Numerators i.e. LCM of 922,167,665 is 102392710.
GCF of Denominators means GCF of 380,185,685 as per the given fractions.
GCF of 380,185,685 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 922,167,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 102392710
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 922,167,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,167,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,167,665) x common factors =1 x 1 = 1
LCM(922,167,665) = ( 922 × 167 × 665 ) / 1
LCM(922,167,665) = 102392710 / 1
LCM(922,167,665) = 102392710
Lets's calculate GCF of 380,185,685
5 | 380, 185, 685 |
76, 37, 137 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102392710/5
Therefore the LCM of Fractions 922/380,167/185,665/685 is 20478542
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 380,185,685 . The biggest common factor number is the GCF number.
So the greatest common factor 380,185,685 is 5.
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 922/380, 167/185, 665/685?
Answer: LCM of Numerators as per given numbers 922/380, 167/185, 665/685 is
LCM of Numerators i.e. for 922,167,665 is 102392710
GCF of denominators i.e. for 380,185,685 is 5.
Thus, LCM of Fractions is 20478542.Finally, LCM of Fractions for 922/380, 167/185, 665/685 is 20478542.