Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/42, 88/12, 28/55, 14/750 quickly i.e. 3080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/42, 88/12, 28/55, 14/750 is 3080.
LCM(10/42, 88/12, 28/55, 14/750) = 3080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/42,88/12,28/55,14/750
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 10,88,28,14
Least Common Multiple of Numerators i.e. LCM of 10,88,28,14 is 3080.
GCF of Denominators means GCF of 42,12,55,750 as per the given fractions.
GCF of 42,12,55,750 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,88,28,14
2 | 10, 88, 28, 14 |
2 | 5, 44, 14, 7 |
7 | 5, 22, 7, 7 |
5, 22, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 22 x 1 x 1 = 3080
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 10,88,28,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,88,28,14) = 2
common factors(in case of two or more numbers have common factors) = 56
GCF(10,88,28,14) x common factors =2 x 56 = 112
LCM(10,88,28,14) = ( 10 × 88 × 28 × 14 ) / 112
LCM(10,88,28,14) = 344960 / 112
LCM(10,88,28,14) = 3080
Lets's calculate GCF of 42,12,55,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3080/1
Therefore the LCM of Fractions 10/42,88/12,28/55,14/750 is 3080
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 42,12,55,750 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,55,750 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 10/42, 88/12, 28/55, 14/750?
Answer: LCM of Numerators as per given numbers 10/42, 88/12, 28/55, 14/750 is
LCM of Numerators i.e. for 10,88,28,14 is 3080
GCF of denominators i.e. for 42,12,55,750 is 1.
Thus, LCM of Fractions is 3080.Finally, LCM of Fractions for 10/42, 88/12, 28/55, 14/750 is 3080.