Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/701, 378/720, 305/612 quickly i.e. 1844640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/701, 378/720, 305/612 is 1844640.
LCM(96/701, 378/720, 305/612) = 1844640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/701,378/720,305/612
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 96,378,305
Least Common Multiple of Numerators i.e. LCM of 96,378,305 is 1844640.
GCF of Denominators means GCF of 701,720,612 as per the given fractions.
GCF of 701,720,612 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,378,305
2 | 96, 378, 305 |
3 | 48, 189, 305 |
16, 63, 305 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 63 x 305 = 1844640
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 96,378,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,378,305) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(96,378,305) x common factors =1 x 6 = 6
LCM(96,378,305) = ( 96 × 378 × 305 ) / 6
LCM(96,378,305) = 11067840 / 6
LCM(96,378,305) = 1844640
Lets's calculate GCF of 701,720,612
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1844640/1
Therefore the LCM of Fractions 96/701,378/720,305/612 is 1844640
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 701,720,612 . The biggest common factor number is the GCF number.
So the greatest common factor 701,720,612 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 96/701, 378/720, 305/612?
Answer: LCM of Numerators as per given numbers 96/701, 378/720, 305/612 is
LCM of Numerators i.e. for 96,378,305 is 1844640
GCF of denominators i.e. for 701,720,612 is 1.
Thus, LCM of Fractions is 1844640.Finally, LCM of Fractions for 96/701, 378/720, 305/612 is 1844640.