Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/420, 81/991, 702/601 quickly i.e. 141102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/420, 81/991, 702/601 is 141102.
LCM(67/420, 81/991, 702/601) = 141102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/420,81/991,702/601
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 67,81,702
Least Common Multiple of Numerators i.e. LCM of 67,81,702 is 141102.
GCF of Denominators means GCF of 420,991,601 as per the given fractions.
GCF of 420,991,601 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,81,702
3 | 67, 81, 702 |
3 | 67, 27, 234 |
3 | 67, 9, 78 |
67, 3, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 67 x 3 x 26 = 141102
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 67,81,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,81,702) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(67,81,702) x common factors =1 x 27 = 27
LCM(67,81,702) = ( 67 × 81 × 702 ) / 27
LCM(67,81,702) = 3809754 / 27
LCM(67,81,702) = 141102
Lets's calculate GCF of 420,991,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141102/1
Therefore the LCM of Fractions 67/420,81/991,702/601 is 141102
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 420,991,601 . The biggest common factor number is the GCF number.
So the greatest common factor 420,991,601 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 67/420, 81/991, 702/601?
Answer: LCM of Numerators as per given numbers 67/420, 81/991, 702/601 is
LCM of Numerators i.e. for 67,81,702 is 141102
GCF of denominators i.e. for 420,991,601 is 1.
Thus, LCM of Fractions is 141102.Finally, LCM of Fractions for 67/420, 81/991, 702/601 is 141102.