Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/54, 98/780, 50/469 quickly i.e. 2450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/54, 98/780, 50/469 is 2450.
LCM(2/54, 98/780, 50/469) = 2450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/54,98/780,50/469
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 2,98,50
Least Common Multiple of Numerators i.e. LCM of 2,98,50 is 2450.
GCF of Denominators means GCF of 54,780,469 as per the given fractions.
GCF of 54,780,469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,98,50
2 | 2, 98, 50 |
1, 49, 25 |
∴ So the LCM of the given numbers is 2 x 1 x 49 x 25 = 2450
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 2,98,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,98,50) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(2,98,50) x common factors =2 x 2 = 4
LCM(2,98,50) = ( 2 × 98 × 50 ) / 4
LCM(2,98,50) = 9800 / 4
LCM(2,98,50) = 2450
Lets's calculate GCF of 54,780,469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2450/1
Therefore the LCM of Fractions 2/54,98/780,50/469 is 2450
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Greatest Common Factor
We found the factors 54,780,469 . The biggest common factor number is the GCF number.
So the greatest common factor 54,780,469 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 2/54, 98/780, 50/469?
Answer: LCM of Numerators as per given numbers 2/54, 98/780, 50/469 is
LCM of Numerators i.e. for 2,98,50 is 2450
GCF of denominators i.e. for 54,780,469 is 1.
Thus, LCM of Fractions is 2450.Finally, LCM of Fractions for 2/54, 98/780, 50/469 is 2450.