Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/826, 63/304, 985/473 quickly i.e. 5088510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/826, 63/304, 985/473 is 5088510.
LCM(82/826, 63/304, 985/473) = 5088510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/826,63/304,985/473
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 82,63,985
Least Common Multiple of Numerators i.e. LCM of 82,63,985 is 5088510.
GCF of Denominators means GCF of 826,304,473 as per the given fractions.
GCF of 826,304,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,63,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 5088510
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 82,63,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,63,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,63,985) x common factors =1 x 1 = 1
LCM(82,63,985) = ( 82 × 63 × 985 ) / 1
LCM(82,63,985) = 5088510 / 1
LCM(82,63,985) = 5088510
Lets's calculate GCF of 826,304,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5088510/1
Therefore the LCM of Fractions 82/826,63/304,985/473 is 5088510
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 826,304,473 . The biggest common factor number is the GCF number.
So the greatest common factor 826,304,473 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 82/826, 63/304, 985/473?
Answer: LCM of Numerators as per given numbers 82/826, 63/304, 985/473 is
LCM of Numerators i.e. for 82,63,985 is 5088510
GCF of denominators i.e. for 826,304,473 is 1.
Thus, LCM of Fractions is 5088510.Finally, LCM of Fractions for 82/826, 63/304, 985/473 is 5088510.