Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/26, 3/40, 95/10, 76/124 quickly i.e. 1140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/26, 3/40, 95/10, 76/124 is 1140.
LCM(8/26, 3/40, 95/10, 76/124) = 1140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/26,3/40,95/10,76/124
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 8,3,95,76
Least Common Multiple of Numerators i.e. LCM of 8,3,95,76 is 2280.
GCF of Denominators means GCF of 26,40,10,124 as per the given fractions.
GCF of 26,40,10,124 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,3,95,76
2 | 8, 3, 95, 76 |
2 | 4, 3, 95, 38 |
19 | 2, 3, 95, 19 |
2, 3, 5, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 2 x 3 x 5 x 1 = 2280
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 8,3,95,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,3,95,76) = 1
common factors(in case of two or more numbers have common factors) = 76
GCF(8,3,95,76) x common factors =1 x 76 = 76
LCM(8,3,95,76) = ( 8 × 3 × 95 × 76 ) / 76
LCM(8,3,95,76) = 173280 / 76
LCM(8,3,95,76) = 2280
Lets's calculate GCF of 26,40,10,124
2 | 26, 40, 10, 124 |
13, 20, 5, 62 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2280/2
Therefore the LCM of Fractions 8/26,3/40,95/10,76/124 is 1140
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
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 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 26,40,10,124 . The biggest common factor number is the GCF number.
So the greatest common factor 26,40,10,124 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 8/26, 3/40, 95/10, 76/124?
Answer: LCM of Numerators as per given numbers 8/26, 3/40, 95/10, 76/124 is
LCM of Numerators i.e. for 8,3,95,76 is 2280
GCF of denominators i.e. for 26,40,10,124 is 2.
Thus, LCM of Fractions is 1140.Finally, LCM of Fractions for 8/26, 3/40, 95/10, 76/124 is 1140.