Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/78, 253/53, 760/956 quickly i.e. 384560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/78, 253/53, 760/956 is 384560.
LCM(80/78, 253/53, 760/956) = 384560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/78,253/53,760/956
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 80,253,760
Least Common Multiple of Numerators i.e. LCM of 80,253,760 is 384560.
GCF of Denominators means GCF of 78,53,956 as per the given fractions.
GCF of 78,53,956 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,253,760
2 | 80, 253, 760 |
2 | 40, 253, 380 |
2 | 20, 253, 190 |
5 | 10, 253, 95 |
2, 253, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 2 x 253 x 19 = 384560
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 80,253,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,253,760) = 1
common factors(in case of two or more numbers have common factors) = 40
GCF(80,253,760) x common factors =1 x 40 = 40
LCM(80,253,760) = ( 80 × 253 × 760 ) / 40
LCM(80,253,760) = 15382400 / 40
LCM(80,253,760) = 384560
Lets's calculate GCF of 78,53,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384560/1
Therefore the LCM of Fractions 80/78,253/53,760/956 is 384560
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 78,53,956 . The biggest common factor number is the GCF number.
So the greatest common factor 78,53,956 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 80/78, 253/53, 760/956?
Answer: LCM of Numerators as per given numbers 80/78, 253/53, 760/956 is
LCM of Numerators i.e. for 80,253,760 is 384560
GCF of denominators i.e. for 78,53,956 is 1.
Thus, LCM of Fractions is 384560.Finally, LCM of Fractions for 80/78, 253/53, 760/956 is 384560.