Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/874, 63/498, 676/622 quickly i.e. 1809990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/874, 63/498, 676/622 is 1809990.
LCM(85/874, 63/498, 676/622) = 1809990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/874,63/498,676/622
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 85,63,676
Least Common Multiple of Numerators i.e. LCM of 85,63,676 is 3619980.
GCF of Denominators means GCF of 874,498,622 as per the given fractions.
GCF of 874,498,622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,63,676
Given numbers has no common factors except 1. So, there LCM is their product i.e 3619980
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 85,63,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,63,676) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,63,676) x common factors =1 x 1 = 1
LCM(85,63,676) = ( 85 × 63 × 676 ) / 1
LCM(85,63,676) = 3619980 / 1
LCM(85,63,676) = 3619980
Lets's calculate GCF of 874,498,622
2 | 874, 498, 622 |
437, 249, 311 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3619980/2
Therefore the LCM of Fractions 85/874,63/498,676/622 is 1809990
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 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 874,498,622 . The biggest common factor number is the GCF number.
So the greatest common factor 874,498,622 is 2.
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 85/874, 63/498, 676/622?
Answer: LCM of Numerators as per given numbers 85/874, 63/498, 676/622 is
LCM of Numerators i.e. for 85,63,676 is 3619980
GCF of denominators i.e. for 874,498,622 is 2.
Thus, LCM of Fractions is 1809990.Finally, LCM of Fractions for 85/874, 63/498, 676/622 is 1809990.