Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/772, 722/418, 305/220 quickly i.e. 4624410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/772, 722/418, 305/220 is 4624410.
LCM(84/772, 722/418, 305/220) = 4624410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/772,722/418,305/220
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 84,722,305
Least Common Multiple of Numerators i.e. LCM of 84,722,305 is 9248820.
GCF of Denominators means GCF of 772,418,220 as per the given fractions.
GCF of 772,418,220 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,722,305
2 | 84, 722, 305 |
42, 361, 305 |
∴ So the LCM of the given numbers is 2 x 42 x 361 x 305 = 9248820
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 84,722,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,722,305) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(84,722,305) x common factors =1 x 2 = 2
LCM(84,722,305) = ( 84 × 722 × 305 ) / 2
LCM(84,722,305) = 18497640 / 2
LCM(84,722,305) = 9248820
Lets's calculate GCF of 772,418,220
2 | 772, 418, 220 |
386, 209, 110 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9248820/2
Therefore the LCM of Fractions 84/772,722/418,305/220 is 4624410
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 772,418,220 . The biggest common factor number is the GCF number.
So the greatest common factor 772,418,220 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 84/772, 722/418, 305/220?
Answer: LCM of Numerators as per given numbers 84/772, 722/418, 305/220 is
LCM of Numerators i.e. for 84,722,305 is 9248820
GCF of denominators i.e. for 772,418,220 is 2.
Thus, LCM of Fractions is 4624410.Finally, LCM of Fractions for 84/772, 722/418, 305/220 is 4624410.