Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/85, 43/804, 547/490 quickly i.e. 1411260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/85, 43/804, 547/490 is 1411260.
LCM(60/85, 43/804, 547/490) = 1411260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/85,43/804,547/490
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 60,43,547
Least Common Multiple of Numerators i.e. LCM of 60,43,547 is 1411260.
GCF of Denominators means GCF of 85,804,490 as per the given fractions.
GCF of 85,804,490 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,43,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 1411260
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 60,43,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,43,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,43,547) x common factors =1 x 1 = 1
LCM(60,43,547) = ( 60 × 43 × 547 ) / 1
LCM(60,43,547) = 1411260 / 1
LCM(60,43,547) = 1411260
Lets's calculate GCF of 85,804,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1411260/1
Therefore the LCM of Fractions 60/85,43/804,547/490 is 1411260
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 85,804,490 . The biggest common factor number is the GCF number.
So the greatest common factor 85,804,490 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 60/85, 43/804, 547/490?
Answer: LCM of Numerators as per given numbers 60/85, 43/804, 547/490 is
LCM of Numerators i.e. for 60,43,547 is 1411260
GCF of denominators i.e. for 85,804,490 is 1.
Thus, LCM of Fractions is 1411260.Finally, LCM of Fractions for 60/85, 43/804, 547/490 is 1411260.