Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/94, 5/50, 4/84, 59/498 quickly i.e. 590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/94, 5/50, 4/84, 59/498 is 590.
LCM(2/94, 5/50, 4/84, 59/498) = 590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/94,5/50,4/84,59/498
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 2,5,4,59
Least Common Multiple of Numerators i.e. LCM of 2,5,4,59 is 1180.
GCF of Denominators means GCF of 94,50,84,498 as per the given fractions.
GCF of 94,50,84,498 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,5,4,59
2 | 2, 5, 4, 59 |
1, 5, 2, 59 |
∴ So the LCM of the given numbers is 2 x 1 x 5 x 2 x 59 = 1180
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 2,5,4,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,5,4,59) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,5,4,59) x common factors =1 x 2 = 2
LCM(2,5,4,59) = ( 2 × 5 × 4 × 59 ) / 2
LCM(2,5,4,59) = 2360 / 2
LCM(2,5,4,59) = 1180
Lets's calculate GCF of 94,50,84,498
2 | 94, 50, 84, 498 |
47, 25, 42, 249 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1180/2
Therefore the LCM of Fractions 2/94,5/50,4/84,59/498 is 590
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 94,50,84,498 . The biggest common factor number is the GCF number.
So the greatest common factor 94,50,84,498 is 2.
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 2/94, 5/50, 4/84, 59/498?
Answer: LCM of Numerators as per given numbers 2/94, 5/50, 4/84, 59/498 is
LCM of Numerators i.e. for 2,5,4,59 is 1180
GCF of denominators i.e. for 94,50,84,498 is 2.
Thus, LCM of Fractions is 590.Finally, LCM of Fractions for 2/94, 5/50, 4/84, 59/498 is 590.