Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/50, 55/84, 94/75, 26/826 quickly i.e. 1613040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/50, 55/84, 94/75, 26/826 is 1613040.
LCM(48/50, 55/84, 94/75, 26/826) = 1613040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/50,55/84,94/75,26/826
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 48,55,94,26
Least Common Multiple of Numerators i.e. LCM of 48,55,94,26 is 1613040.
GCF of Denominators means GCF of 50,84,75,826 as per the given fractions.
GCF of 50,84,75,826 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,55,94,26
2 | 48, 55, 94, 26 |
24, 55, 47, 13 |
∴ So the LCM of the given numbers is 2 x 24 x 55 x 47 x 13 = 1613040
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 48,55,94,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,55,94,26) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(48,55,94,26) x common factors =1 x 4 = 4
LCM(48,55,94,26) = ( 48 × 55 × 94 × 26 ) / 4
LCM(48,55,94,26) = 6452160 / 4
LCM(48,55,94,26) = 1613040
Lets's calculate GCF of 50,84,75,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1613040/1
Therefore the LCM of Fractions 48/50,55/84,94/75,26/826 is 1613040
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 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 50,84,75,826 . The biggest common factor number is the GCF number.
So the greatest common factor 50,84,75,826 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 48/50, 55/84, 94/75, 26/826?
Answer: LCM of Numerators as per given numbers 48/50, 55/84, 94/75, 26/826 is
LCM of Numerators i.e. for 48,55,94,26 is 1613040
GCF of denominators i.e. for 50,84,75,826 is 1.
Thus, LCM of Fractions is 1613040.Finally, LCM of Fractions for 48/50, 55/84, 94/75, 26/826 is 1613040.