Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 635/39, 549/95, 328/546 quickly i.e. 114345720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 635/39, 549/95, 328/546 is 114345720.
LCM(635/39, 549/95, 328/546) = 114345720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 635/39,549/95,328/546
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 635,549,328
Least Common Multiple of Numerators i.e. LCM of 635,549,328 is 114345720.
GCF of Denominators means GCF of 39,95,546 as per the given fractions.
GCF of 39,95,546 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 635,549,328
Given numbers has no common factors except 1. So, there LCM is their product i.e 114345720
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 635,549,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,549,328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,549,328) x common factors =1 x 1 = 1
LCM(635,549,328) = ( 635 × 549 × 328 ) / 1
LCM(635,549,328) = 114345720 / 1
LCM(635,549,328) = 114345720
Lets's calculate GCF of 39,95,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114345720/1
Therefore the LCM of Fractions 635/39,549/95,328/546 is 114345720
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 39,95,546 . The biggest common factor number is the GCF number.
So the greatest common factor 39,95,546 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 635/39, 549/95, 328/546?
Answer: LCM of Numerators as per given numbers 635/39, 549/95, 328/546 is
LCM of Numerators i.e. for 635,549,328 is 114345720
GCF of denominators i.e. for 39,95,546 is 1.
Thus, LCM of Fractions is 114345720.Finally, LCM of Fractions for 635/39, 549/95, 328/546 is 114345720.