Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/368, 97/331, 598/952 quickly i.e. 2726282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/368, 97/331, 598/952 is 2726282.
LCM(94/368, 97/331, 598/952) = 2726282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/368,97/331,598/952
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 94,97,598
Least Common Multiple of Numerators i.e. LCM of 94,97,598 is 2726282.
GCF of Denominators means GCF of 368,331,952 as per the given fractions.
GCF of 368,331,952 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,97,598
2 | 94, 97, 598 |
47, 97, 299 |
∴ So the LCM of the given numbers is 2 x 47 x 97 x 299 = 2726282
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 94,97,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,97,598) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,97,598) x common factors =1 x 2 = 2
LCM(94,97,598) = ( 94 × 97 × 598 ) / 2
LCM(94,97,598) = 5452564 / 2
LCM(94,97,598) = 2726282
Lets's calculate GCF of 368,331,952
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2726282/1
Therefore the LCM of Fractions 94/368,97/331,598/952 is 2726282
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 368,331,952 . The biggest common factor number is the GCF number.
So the greatest common factor 368,331,952 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 94/368, 97/331, 598/952?
Answer: LCM of Numerators as per given numbers 94/368, 97/331, 598/952 is
LCM of Numerators i.e. for 94,97,598 is 2726282
GCF of denominators i.e. for 368,331,952 is 1.
Thus, LCM of Fractions is 2726282.Finally, LCM of Fractions for 94/368, 97/331, 598/952 is 2726282.