Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4681/417, 1334/6162 quickly i.e. 6244454/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4681/417, 1334/6162 is 6244454/3.
LCM(4681/417, 1334/6162) = 6244454/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4681/417,1334/6162
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 4681,1334
Least Common Multiple of Numerators i.e. LCM of 4681,1334 is 6244454.
GCF of Denominators means GCF of 417,6162 as per the given fractions.
GCF of 417,6162 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4681,1334
Given numbers has no common factors except 1. So, there LCM is their product i.e 6244454
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 4681,1334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4681,1334) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4681,1334) x common factors =1 x 1 = 1
LCM(4681,1334) = ( 4681 × 1334 ) / 1
LCM(4681,1334) = 6244454 / 1
LCM(4681,1334) = 6244454
Lets's calculate GCF of 417,6162
3 | 417, 6162 |
139, 2054 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6244454/3
Therefore the LCM of Fractions 4681/417,1334/6162 is 6244454/3
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Factors of 6162
List of positive integer factors of 6162 that divides 6162 without a remainder.
1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162
Greatest Common Factor
We found the factors 417,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 417,6162 is 3.
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 4681/417, 1334/6162?
Answer: LCM of Numerators as per given numbers 4681/417, 1334/6162 is
LCM of Numerators i.e. for 4681,1334 is 6244454
GCF of denominators i.e. for 417,6162 is 3.
Thus, LCM of Fractions is 6244454/3.Finally, LCM of Fractions for 4681/417, 1334/6162 is 6244454/3.