Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 353/28, 482/37, 543/980 quickly i.e. 92389278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 353/28, 482/37, 543/980 is 92389278.
LCM(353/28, 482/37, 543/980) = 92389278
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 353/28,482/37,543/980
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 353,482,543
Least Common Multiple of Numerators i.e. LCM of 353,482,543 is 92389278.
GCF of Denominators means GCF of 28,37,980 as per the given fractions.
GCF of 28,37,980 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 353,482,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 92389278
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 353,482,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,482,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,482,543) x common factors =1 x 1 = 1
LCM(353,482,543) = ( 353 × 482 × 543 ) / 1
LCM(353,482,543) = 92389278 / 1
LCM(353,482,543) = 92389278
Lets's calculate GCF of 28,37,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92389278/1
Therefore the LCM of Fractions 353/28,482/37,543/980 is 92389278
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 28,37,980 . The biggest common factor number is the GCF number.
So the greatest common factor 28,37,980 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 353/28, 482/37, 543/980?
Answer: LCM of Numerators as per given numbers 353/28, 482/37, 543/980 is
LCM of Numerators i.e. for 353,482,543 is 92389278
GCF of denominators i.e. for 28,37,980 is 1.
Thus, LCM of Fractions is 92389278.Finally, LCM of Fractions for 353/28, 482/37, 543/980 is 92389278.