Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/31, 623/46, 109/119 quickly i.e. 4549769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/31, 623/46, 109/119 is 4549769.
LCM(67/31, 623/46, 109/119) = 4549769
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/31,623/46,109/119
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 67,623,109
Least Common Multiple of Numerators i.e. LCM of 67,623,109 is 4549769.
GCF of Denominators means GCF of 31,46,119 as per the given fractions.
GCF of 31,46,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,623,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 4549769
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 67,623,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,623,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,623,109) x common factors =1 x 1 = 1
LCM(67,623,109) = ( 67 × 623 × 109 ) / 1
LCM(67,623,109) = 4549769 / 1
LCM(67,623,109) = 4549769
Lets's calculate GCF of 31,46,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4549769/1
Therefore the LCM of Fractions 67/31,623/46,109/119 is 4549769
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 31,46,119 . The biggest common factor number is the GCF number.
So the greatest common factor 31,46,119 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 67/31, 623/46, 109/119?
Answer: LCM of Numerators as per given numbers 67/31, 623/46, 109/119 is
LCM of Numerators i.e. for 67,623,109 is 4549769
GCF of denominators i.e. for 31,46,119 is 1.
Thus, LCM of Fractions is 4549769.Finally, LCM of Fractions for 67/31, 623/46, 109/119 is 4549769.