Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/382, 49/420, 672/415 quickly i.e. 61152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/382, 49/420, 672/415 is 61152.
LCM(13/382, 49/420, 672/415) = 61152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/382,49/420,672/415
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 13,49,672
Least Common Multiple of Numerators i.e. LCM of 13,49,672 is 61152.
GCF of Denominators means GCF of 382,420,415 as per the given fractions.
GCF of 382,420,415 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,49,672
7 | 13, 49, 672 |
13, 7, 96 |
∴ So the LCM of the given numbers is 7 x 13 x 7 x 96 = 61152
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 13,49,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,49,672) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(13,49,672) x common factors =1 x 7 = 7
LCM(13,49,672) = ( 13 × 49 × 672 ) / 7
LCM(13,49,672) = 428064 / 7
LCM(13,49,672) = 61152
Lets's calculate GCF of 382,420,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61152/1
Therefore the LCM of Fractions 13/382,49/420,672/415 is 61152
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 382,420,415 . The biggest common factor number is the GCF number.
So the greatest common factor 382,420,415 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 13/382, 49/420, 672/415?
Answer: LCM of Numerators as per given numbers 13/382, 49/420, 672/415 is
LCM of Numerators i.e. for 13,49,672 is 61152
GCF of denominators i.e. for 382,420,415 is 1.
Thus, LCM of Fractions is 61152.Finally, LCM of Fractions for 13/382, 49/420, 672/415 is 61152.