Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/469, 212/380 quickly i.e. 41128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/469, 212/380 is 41128.
LCM(776/469, 212/380) = 41128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/469,212/380
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 776,212
Least Common Multiple of Numerators i.e. LCM of 776,212 is 41128.
GCF of Denominators means GCF of 469,380 as per the given fractions.
GCF of 469,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,212
2 | 776, 212 |
2 | 388, 106 |
194, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 194 x 53 = 41128
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 776,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(776,212) x common factors =4 x 1 = 4
LCM(776,212) = ( 776 × 212 ) / 4
LCM(776,212) = 164512 / 4
LCM(776,212) = 41128
Lets's calculate GCF of 469,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41128/1
Therefore the LCM of Fractions 776/469,212/380 is 41128
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 469,380 . The biggest common factor number is the GCF number.
So the greatest common factor 469,380 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 776/469, 212/380?
Answer: LCM of Numerators as per given numbers 776/469, 212/380 is
LCM of Numerators i.e. for 776,212 is 41128
GCF of denominators i.e. for 469,380 is 1.
Thus, LCM of Fractions is 41128.Finally, LCM of Fractions for 776/469, 212/380 is 41128.