Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/380, 369/80, 924/753 quickly i.e. 113652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/380, 369/80, 924/753 is 113652.
LCM(82/380, 369/80, 924/753) = 113652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/380,369/80,924/753
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 82,369,924
Least Common Multiple of Numerators i.e. LCM of 82,369,924 is 113652.
GCF of Denominators means GCF of 380,80,753 as per the given fractions.
GCF of 380,80,753 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,369,924
2 | 82, 369, 924 |
3 | 41, 369, 462 |
41 | 41, 123, 154 |
1, 3, 154 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 1 x 3 x 154 = 113652
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 82,369,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,369,924) = 1
common factors(in case of two or more numbers have common factors) = 246
GCF(82,369,924) x common factors =1 x 246 = 246
LCM(82,369,924) = ( 82 × 369 × 924 ) / 246
LCM(82,369,924) = 27958392 / 246
LCM(82,369,924) = 113652
Lets's calculate GCF of 380,80,753
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113652/1
Therefore the LCM of Fractions 82/380,369/80,924/753 is 113652
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
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 380,80,753 . The biggest common factor number is the GCF number.
So the greatest common factor 380,80,753 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 82/380, 369/80, 924/753?
Answer: LCM of Numerators as per given numbers 82/380, 369/80, 924/753 is
LCM of Numerators i.e. for 82,369,924 is 113652
GCF of denominators i.e. for 380,80,753 is 1.
Thus, LCM of Fractions is 113652.Finally, LCM of Fractions for 82/380, 369/80, 924/753 is 113652.