Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/167, 290/222, 159/363 quickly i.e. 4472670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/167, 290/222, 159/363 is 4472670.
LCM(97/167, 290/222, 159/363) = 4472670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/167,290/222,159/363
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 97,290,159
Least Common Multiple of Numerators i.e. LCM of 97,290,159 is 4472670.
GCF of Denominators means GCF of 167,222,363 as per the given fractions.
GCF of 167,222,363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,290,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 4472670
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 97,290,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,290,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,290,159) x common factors =1 x 1 = 1
LCM(97,290,159) = ( 97 × 290 × 159 ) / 1
LCM(97,290,159) = 4472670 / 1
LCM(97,290,159) = 4472670
Lets's calculate GCF of 167,222,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4472670/1
Therefore the LCM of Fractions 97/167,290/222,159/363 is 4472670
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 167,222,363 . The biggest common factor number is the GCF number.
So the greatest common factor 167,222,363 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 97/167, 290/222, 159/363?
Answer: LCM of Numerators as per given numbers 97/167, 290/222, 159/363 is
LCM of Numerators i.e. for 97,290,159 is 4472670
GCF of denominators i.e. for 167,222,363 is 1.
Thus, LCM of Fractions is 4472670.Finally, LCM of Fractions for 97/167, 290/222, 159/363 is 4472670.