Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/39, 385/76, 251/360 quickly i.e. 3285590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/39, 385/76, 251/360 is 3285590.
LCM(34/39, 385/76, 251/360) = 3285590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/39,385/76,251/360
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 34,385,251
Least Common Multiple of Numerators i.e. LCM of 34,385,251 is 3285590.
GCF of Denominators means GCF of 39,76,360 as per the given fractions.
GCF of 39,76,360 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,385,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 3285590
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 34,385,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,385,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,385,251) x common factors =1 x 1 = 1
LCM(34,385,251) = ( 34 × 385 × 251 ) / 1
LCM(34,385,251) = 3285590 / 1
LCM(34,385,251) = 3285590
Lets's calculate GCF of 39,76,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3285590/1
Therefore the LCM of Fractions 34/39,385/76,251/360 is 3285590
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 39,76,360 . The biggest common factor number is the GCF number.
So the greatest common factor 39,76,360 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 34/39, 385/76, 251/360?
Answer: LCM of Numerators as per given numbers 34/39, 385/76, 251/360 is
LCM of Numerators i.e. for 34,385,251 is 3285590
GCF of denominators i.e. for 39,76,360 is 1.
Thus, LCM of Fractions is 3285590.Finally, LCM of Fractions for 34/39, 385/76, 251/360 is 3285590.