Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 162/84, 671/7853 quickly i.e. 108702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 162/84, 671/7853 is 108702.
LCM(162/84, 671/7853) = 108702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 162/84,671/7853
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 162,671
Least Common Multiple of Numerators i.e. LCM of 162,671 is 108702.
GCF of Denominators means GCF of 84,7853 as per the given fractions.
GCF of 84,7853 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 162,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 108702
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 162,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,671) x common factors =1 x 1 = 1
LCM(162,671) = ( 162 × 671 ) / 1
LCM(162,671) = 108702 / 1
LCM(162,671) = 108702
Lets's calculate GCF of 84,7853
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108702/1
Therefore the LCM of Fractions 162/84,671/7853 is 108702
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 7853
List of positive integer factors of 7853 that divides 7853 without a remainder.
1,7853
Greatest Common Factor
We found the factors 84,7853 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7853 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 162/84, 671/7853?
Answer: LCM of Numerators as per given numbers 162/84, 671/7853 is
LCM of Numerators i.e. for 162,671 is 108702
GCF of denominators i.e. for 84,7853 is 1.
Thus, LCM of Fractions is 108702.Finally, LCM of Fractions for 162/84, 671/7853 is 108702.