Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/420, 49/263, 15/541 quickly i.e. 735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/420, 49/263, 15/541 is 735.
LCM(3/420, 49/263, 15/541) = 735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/420,49/263,15/541
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 3,49,15
Least Common Multiple of Numerators i.e. LCM of 3,49,15 is 735.
GCF of Denominators means GCF of 420,263,541 as per the given fractions.
GCF of 420,263,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,49,15
3 | 3, 49, 15 |
1, 49, 5 |
∴ So the LCM of the given numbers is 3 x 1 x 49 x 5 = 735
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 3,49,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,49,15) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,49,15) x common factors =1 x 3 = 3
LCM(3,49,15) = ( 3 × 49 × 15 ) / 3
LCM(3,49,15) = 2205 / 3
LCM(3,49,15) = 735
Lets's calculate GCF of 420,263,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 735/1
Therefore the LCM of Fractions 3/420,49/263,15/541 is 735
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 420,263,541 . The biggest common factor number is the GCF number.
So the greatest common factor 420,263,541 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 3/420, 49/263, 15/541?
Answer: LCM of Numerators as per given numbers 3/420, 49/263, 15/541 is
LCM of Numerators i.e. for 3,49,15 is 735
GCF of denominators i.e. for 420,263,541 is 1.
Thus, LCM of Fractions is 735.Finally, LCM of Fractions for 3/420, 49/263, 15/541 is 735.