Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/320, 336/119, 849/634 quickly i.e. 5229840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/320, 336/119, 849/634 is 5229840.
LCM(385/320, 336/119, 849/634) = 5229840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/320,336/119,849/634
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 385,336,849
Least Common Multiple of Numerators i.e. LCM of 385,336,849 is 5229840.
GCF of Denominators means GCF of 320,119,634 as per the given fractions.
GCF of 320,119,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,336,849
3 | 385, 336, 849 |
7 | 385, 112, 283 |
55, 16, 283 |
∴ So the LCM of the given numbers is 3 x 7 x 55 x 16 x 283 = 5229840
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 385,336,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,336,849) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(385,336,849) x common factors =1 x 21 = 21
LCM(385,336,849) = ( 385 × 336 × 849 ) / 21
LCM(385,336,849) = 109826640 / 21
LCM(385,336,849) = 5229840
Lets's calculate GCF of 320,119,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5229840/1
Therefore the LCM of Fractions 385/320,336/119,849/634 is 5229840
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 320,119,634 . The biggest common factor number is the GCF number.
So the greatest common factor 320,119,634 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 385/320, 336/119, 849/634?
Answer: LCM of Numerators as per given numbers 385/320, 336/119, 849/634 is
LCM of Numerators i.e. for 385,336,849 is 5229840
GCF of denominators i.e. for 320,119,634 is 1.
Thus, LCM of Fractions is 5229840.Finally, LCM of Fractions for 385/320, 336/119, 849/634 is 5229840.