Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/203, 956/167, 245/804 quickly i.e. 3981740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/203, 956/167, 245/804 is 3981740.
LCM(85/203, 956/167, 245/804) = 3981740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/203,956/167,245/804
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 85,956,245
Least Common Multiple of Numerators i.e. LCM of 85,956,245 is 3981740.
GCF of Denominators means GCF of 203,167,804 as per the given fractions.
GCF of 203,167,804 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,956,245
5 | 85, 956, 245 |
17, 956, 49 |
∴ So the LCM of the given numbers is 5 x 17 x 956 x 49 = 3981740
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 85,956,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,956,245) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,956,245) x common factors =1 x 5 = 5
LCM(85,956,245) = ( 85 × 956 × 245 ) / 5
LCM(85,956,245) = 19908700 / 5
LCM(85,956,245) = 3981740
Lets's calculate GCF of 203,167,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3981740/1
Therefore the LCM of Fractions 85/203,956/167,245/804 is 3981740
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 203,167,804 . The biggest common factor number is the GCF number.
So the greatest common factor 203,167,804 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 85/203, 956/167, 245/804?
Answer: LCM of Numerators as per given numbers 85/203, 956/167, 245/804 is
LCM of Numerators i.e. for 85,956,245 is 3981740
GCF of denominators i.e. for 203,167,804 is 1.
Thus, LCM of Fractions is 3981740.Finally, LCM of Fractions for 85/203, 956/167, 245/804 is 3981740.