Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/10, 19/24, 56/600 quickly i.e. 3724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/10, 19/24, 56/600 is 3724.
LCM(49/10, 19/24, 56/600) = 3724
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/10,19/24,56/600
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 49,19,56
Least Common Multiple of Numerators i.e. LCM of 49,19,56 is 7448.
GCF of Denominators means GCF of 10,24,600 as per the given fractions.
GCF of 10,24,600 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,19,56
7 | 49, 19, 56 |
7, 19, 8 |
∴ So the LCM of the given numbers is 7 x 7 x 19 x 8 = 7448
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 49,19,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,19,56) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,19,56) x common factors =1 x 7 = 7
LCM(49,19,56) = ( 49 × 19 × 56 ) / 7
LCM(49,19,56) = 52136 / 7
LCM(49,19,56) = 7448
Lets's calculate GCF of 10,24,600
2 | 10, 24, 600 |
5, 12, 300 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7448/2
Therefore the LCM of Fractions 49/10,19/24,56/600 is 3724
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
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 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 10,24,600 . The biggest common factor number is the GCF number.
So the greatest common factor 10,24,600 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 49/10, 19/24, 56/600?
Answer: LCM of Numerators as per given numbers 49/10, 19/24, 56/600 is
LCM of Numerators i.e. for 49,19,56 is 7448
GCF of denominators i.e. for 10,24,600 is 2.
Thus, LCM of Fractions is 3724.Finally, LCM of Fractions for 49/10, 19/24, 56/600 is 3724.