Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/874, 416/698, 571/477 quickly i.e. 10214048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/874, 416/698, 571/477 is 10214048.
LCM(43/874, 416/698, 571/477) = 10214048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/874,416/698,571/477
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 43,416,571
Least Common Multiple of Numerators i.e. LCM of 43,416,571 is 10214048.
GCF of Denominators means GCF of 874,698,477 as per the given fractions.
GCF of 874,698,477 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,416,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 10214048
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 43,416,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,416,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,416,571) x common factors =1 x 1 = 1
LCM(43,416,571) = ( 43 × 416 × 571 ) / 1
LCM(43,416,571) = 10214048 / 1
LCM(43,416,571) = 10214048
Lets's calculate GCF of 874,698,477
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10214048/1
Therefore the LCM of Fractions 43/874,416/698,571/477 is 10214048
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Greatest Common Factor
We found the factors 874,698,477 . The biggest common factor number is the GCF number.
So the greatest common factor 874,698,477 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 43/874, 416/698, 571/477?
Answer: LCM of Numerators as per given numbers 43/874, 416/698, 571/477 is
LCM of Numerators i.e. for 43,416,571 is 10214048
GCF of denominators i.e. for 874,698,477 is 1.
Thus, LCM of Fractions is 10214048.Finally, LCM of Fractions for 43/874, 416/698, 571/477 is 10214048.