Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/388, 98/400, 383/492 quickly i.e. 356573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/388, 98/400, 383/492 is 356573.
LCM(76/388, 98/400, 383/492) = 356573
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/388,98/400,383/492
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 76,98,383
Least Common Multiple of Numerators i.e. LCM of 76,98,383 is 1426292.
GCF of Denominators means GCF of 388,400,492 as per the given fractions.
GCF of 388,400,492 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,98,383
2 | 76, 98, 383 |
38, 49, 383 |
∴ So the LCM of the given numbers is 2 x 38 x 49 x 383 = 1426292
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 76,98,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,98,383) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,98,383) x common factors =1 x 2 = 2
LCM(76,98,383) = ( 76 × 98 × 383 ) / 2
LCM(76,98,383) = 2852584 / 2
LCM(76,98,383) = 1426292
Lets's calculate GCF of 388,400,492
2 | 388, 400, 492 |
2 | 194, 200, 246 |
97, 100, 123 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1426292/4
Therefore the LCM of Fractions 76/388,98/400,383/492 is 356573
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 388,400,492 . The biggest common factor number is the GCF number.
So the greatest common factor 388,400,492 is 4.
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 76/388, 98/400, 383/492?
Answer: LCM of Numerators as per given numbers 76/388, 98/400, 383/492 is
LCM of Numerators i.e. for 76,98,383 is 1426292
GCF of denominators i.e. for 388,400,492 is 4.
Thus, LCM of Fractions is 356573.Finally, LCM of Fractions for 76/388, 98/400, 383/492 is 356573.