Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/357, 80/738, 78/560 quickly i.e. 3120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/357, 80/738, 78/560 is 3120.
LCM(2/357, 80/738, 78/560) = 3120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/357,80/738,78/560
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 2,80,78
Least Common Multiple of Numerators i.e. LCM of 2,80,78 is 3120.
GCF of Denominators means GCF of 357,738,560 as per the given fractions.
GCF of 357,738,560 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,80,78
2 | 2, 80, 78 |
1, 40, 39 |
∴ So the LCM of the given numbers is 2 x 1 x 40 x 39 = 3120
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 2,80,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,80,78) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(2,80,78) x common factors =2 x 2 = 4
LCM(2,80,78) = ( 2 × 80 × 78 ) / 4
LCM(2,80,78) = 12480 / 4
LCM(2,80,78) = 3120
Lets's calculate GCF of 357,738,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/1
Therefore the LCM of Fractions 2/357,80/738,78/560 is 3120
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 357,738,560 . The biggest common factor number is the GCF number.
So the greatest common factor 357,738,560 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 2/357, 80/738, 78/560?
Answer: LCM of Numerators as per given numbers 2/357, 80/738, 78/560 is
LCM of Numerators i.e. for 2,80,78 is 3120
GCF of denominators i.e. for 357,738,560 is 1.
Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 2/357, 80/738, 78/560 is 3120.