Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/620, 60/353, 41/276 quickly i.e. 2460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/620, 60/353, 41/276 is 2460.
LCM(1/620, 60/353, 41/276) = 2460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/620,60/353,41/276
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 1,60,41
Least Common Multiple of Numerators i.e. LCM of 1,60,41 is 2460.
GCF of Denominators means GCF of 620,353,276 as per the given fractions.
GCF of 620,353,276 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,60,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 2460
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 1,60,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,60,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,60,41) x common factors =1 x 1 = 1
LCM(1,60,41) = ( 1 × 60 × 41 ) / 1
LCM(1,60,41) = 2460 / 1
LCM(1,60,41) = 2460
Lets's calculate GCF of 620,353,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2460/1
Therefore the LCM of Fractions 1/620,60/353,41/276 is 2460
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 353
List of positive integer factors of 353 that divides 353 without a remainder.
1,353
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 620,353,276 . The biggest common factor number is the GCF number.
So the greatest common factor 620,353,276 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 1/620, 60/353, 41/276?
Answer: LCM of Numerators as per given numbers 1/620, 60/353, 41/276 is
LCM of Numerators i.e. for 1,60,41 is 2460
GCF of denominators i.e. for 620,353,276 is 1.
Thus, LCM of Fractions is 2460.Finally, LCM of Fractions for 1/620, 60/353, 41/276 is 2460.