Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/380, 45/867, 541/984 quickly i.e. 316485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/380, 45/867, 541/984 is 316485.
LCM(39/380, 45/867, 541/984) = 316485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/380,45/867,541/984
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 39,45,541
Least Common Multiple of Numerators i.e. LCM of 39,45,541 is 316485.
GCF of Denominators means GCF of 380,867,984 as per the given fractions.
GCF of 380,867,984 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,45,541
3 | 39, 45, 541 |
13, 15, 541 |
∴ So the LCM of the given numbers is 3 x 13 x 15 x 541 = 316485
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 39,45,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,45,541) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,45,541) x common factors =1 x 3 = 3
LCM(39,45,541) = ( 39 × 45 × 541 ) / 3
LCM(39,45,541) = 949455 / 3
LCM(39,45,541) = 316485
Lets's calculate GCF of 380,867,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316485/1
Therefore the LCM of Fractions 39/380,45/867,541/984 is 316485
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 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 380,867,984 . The biggest common factor number is the GCF number.
So the greatest common factor 380,867,984 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 39/380, 45/867, 541/984?
Answer: LCM of Numerators as per given numbers 39/380, 45/867, 541/984 is
LCM of Numerators i.e. for 39,45,541 is 316485
GCF of denominators i.e. for 380,867,984 is 1.
Thus, LCM of Fractions is 316485.Finally, LCM of Fractions for 39/380, 45/867, 541/984 is 316485.