Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/950, 2724/3784 quickly i.e. 74910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/950, 2724/3784 is 74910.
LCM(55/950, 2724/3784) = 74910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/950,2724/3784
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 55,2724
Least Common Multiple of Numerators i.e. LCM of 55,2724 is 149820.
GCF of Denominators means GCF of 950,3784 as per the given fractions.
GCF of 950,3784 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,2724
Given numbers has no common factors except 1. So, there LCM is their product i.e 149820
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 55,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,2724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,2724) x common factors =1 x 1 = 1
LCM(55,2724) = ( 55 × 2724 ) / 1
LCM(55,2724) = 149820 / 1
LCM(55,2724) = 149820
Lets's calculate GCF of 950,3784
2 | 950, 3784 |
475, 1892 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149820/2
Therefore the LCM of Fractions 55/950,2724/3784 is 74910
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 3784
List of positive integer factors of 3784 that divides 3784 without a remainder.
1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784
Greatest Common Factor
We found the factors 950,3784 . The biggest common factor number is the GCF number.
So the greatest common factor 950,3784 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 55/950, 2724/3784?
Answer: LCM of Numerators as per given numbers 55/950, 2724/3784 is
LCM of Numerators i.e. for 55,2724 is 149820
GCF of denominators i.e. for 950,3784 is 2.
Thus, LCM of Fractions is 74910.Finally, LCM of Fractions for 55/950, 2724/3784 is 74910.