Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/97, 362/97, 278/194 quickly i.e. 2264310/97 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/97, 362/97, 278/194 is 2264310/97.
LCM(90/97, 362/97, 278/194) = 2264310/97
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/97,362/97,278/194
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 90,362,278
Least Common Multiple of Numerators i.e. LCM of 90,362,278 is 2264310.
GCF of Denominators means GCF of 97,97,194 as per the given fractions.
GCF of 97,97,194 is 97 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,362,278
2 | 90, 362, 278 |
45, 181, 139 |
∴ So the LCM of the given numbers is 2 x 45 x 181 x 139 = 2264310
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 90,362,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,362,278) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(90,362,278) x common factors =2 x 2 = 4
LCM(90,362,278) = ( 90 × 362 × 278 ) / 4
LCM(90,362,278) = 9057240 / 4
LCM(90,362,278) = 2264310
Lets's calculate GCF of 97,97,194
97 | 97, 97, 194 |
1, 1, 2 |
∴ So the GCF of the given numbers is 97 = 97
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2264310/97
Therefore the LCM of Fractions 90/97,362/97,278/194 is 2264310/97
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 97,97,194 . The biggest common factor number is the GCF number.
So the greatest common factor 97,97,194 is 97.
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 90/97, 362/97, 278/194?
Answer: LCM of Numerators as per given numbers 90/97, 362/97, 278/194 is
LCM of Numerators i.e. for 90,362,278 is 2264310
GCF of denominators i.e. for 97,97,194 is 97.
Thus, LCM of Fractions is 2264310/97.Finally, LCM of Fractions for 90/97, 362/97, 278/194 is 2264310/97.