Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/49, 35/47, 26/56, 75/526 quickly i.e. 81900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/49, 35/47, 26/56, 75/526 is 81900.
LCM(36/49, 35/47, 26/56, 75/526) = 81900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/49,35/47,26/56,75/526
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 36,35,26,75
Least Common Multiple of Numerators i.e. LCM of 36,35,26,75 is 81900.
GCF of Denominators means GCF of 49,47,56,526 as per the given fractions.
GCF of 49,47,56,526 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,35,26,75
2 | 36, 35, 26, 75 |
3 | 18, 35, 13, 75 |
5 | 6, 35, 13, 25 |
6, 7, 13, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 6 x 7 x 13 x 5 = 81900
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 36,35,26,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,35,26,75) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(36,35,26,75) x common factors =1 x 30 = 30
LCM(36,35,26,75) = ( 36 × 35 × 26 × 75 ) / 30
LCM(36,35,26,75) = 2457000 / 30
LCM(36,35,26,75) = 81900
Lets's calculate GCF of 49,47,56,526
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81900/1
Therefore the LCM of Fractions 36/49,35/47,26/56,75/526 is 81900
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 49,47,56,526 . The biggest common factor number is the GCF number.
So the greatest common factor 49,47,56,526 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 36/49, 35/47, 26/56, 75/526?
Answer: LCM of Numerators as per given numbers 36/49, 35/47, 26/56, 75/526 is
LCM of Numerators i.e. for 36,35,26,75 is 81900
GCF of denominators i.e. for 49,47,56,526 is 1.
Thus, LCM of Fractions is 81900.Finally, LCM of Fractions for 36/49, 35/47, 26/56, 75/526 is 81900.