Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/190, 79/756 quickly i.e. 2054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/190, 79/756 is 2054.
LCM(52/190, 79/756) = 2054
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/190,79/756
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 52,79
Least Common Multiple of Numerators i.e. LCM of 52,79 is 4108.
GCF of Denominators means GCF of 190,756 as per the given fractions.
GCF of 190,756 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 4108
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 52,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,79) x common factors =1 x 1 = 1
LCM(52,79) = ( 52 × 79 ) / 1
LCM(52,79) = 4108 / 1
LCM(52,79) = 4108
Lets's calculate GCF of 190,756
2 | 190, 756 |
95, 378 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4108/2
Therefore the LCM of Fractions 52/190,79/756 is 2054
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 190,756 . The biggest common factor number is the GCF number.
So the greatest common factor 190,756 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 52/190, 79/756?
Answer: LCM of Numerators as per given numbers 52/190, 79/756 is
LCM of Numerators i.e. for 52,79 is 4108
GCF of denominators i.e. for 190,756 is 2.
Thus, LCM of Fractions is 2054.Finally, LCM of Fractions for 52/190, 79/756 is 2054.