Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/24, 70/40, 31/54, 55/723 quickly i.e. 95480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/24, 70/40, 31/54, 55/723 is 95480.
LCM(56/24, 70/40, 31/54, 55/723) = 95480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/24,70/40,31/54,55/723
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 56,70,31,55
Least Common Multiple of Numerators i.e. LCM of 56,70,31,55 is 95480.
GCF of Denominators means GCF of 24,40,54,723 as per the given fractions.
GCF of 24,40,54,723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,70,31,55
2 | 56, 70, 31, 55 |
5 | 28, 35, 31, 55 |
7 | 28, 7, 31, 11 |
4, 1, 31, 11 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 1 x 31 x 11 = 95480
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 56,70,31,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,70,31,55) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(56,70,31,55) x common factors =1 x 70 = 70
LCM(56,70,31,55) = ( 56 × 70 × 31 × 55 ) / 70
LCM(56,70,31,55) = 6683600 / 70
LCM(56,70,31,55) = 95480
Lets's calculate GCF of 24,40,54,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95480/1
Therefore the LCM of Fractions 56/24,70/40,31/54,55/723 is 95480
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Greatest Common Factor
We found the factors 24,40,54,723 . The biggest common factor number is the GCF number.
So the greatest common factor 24,40,54,723 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 56/24, 70/40, 31/54, 55/723?
Answer: LCM of Numerators as per given numbers 56/24, 70/40, 31/54, 55/723 is
LCM of Numerators i.e. for 56,70,31,55 is 95480
GCF of denominators i.e. for 24,40,54,723 is 1.
Thus, LCM of Fractions is 95480.Finally, LCM of Fractions for 56/24, 70/40, 31/54, 55/723 is 95480.