Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/318, 89/550, 702/119 quickly i.e. 3686202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/318, 89/550, 702/119 is 3686202.
LCM(59/318, 89/550, 702/119) = 3686202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/318,89/550,702/119
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 59,89,702
Least Common Multiple of Numerators i.e. LCM of 59,89,702 is 3686202.
GCF of Denominators means GCF of 318,550,119 as per the given fractions.
GCF of 318,550,119 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,89,702
Given numbers has no common factors except 1. So, there LCM is their product i.e 3686202
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 59,89,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,89,702) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,89,702) x common factors =1 x 1 = 1
LCM(59,89,702) = ( 59 × 89 × 702 ) / 1
LCM(59,89,702) = 3686202 / 1
LCM(59,89,702) = 3686202
Lets's calculate GCF of 318,550,119
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3686202/1
Therefore the LCM of Fractions 59/318,89/550,702/119 is 3686202
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
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 318,550,119 . The biggest common factor number is the GCF number.
So the greatest common factor 318,550,119 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 59/318, 89/550, 702/119?
Answer: LCM of Numerators as per given numbers 59/318, 89/550, 702/119 is
LCM of Numerators i.e. for 59,89,702 is 3686202
GCF of denominators i.e. for 318,550,119 is 1.
Thus, LCM of Fractions is 3686202.Finally, LCM of Fractions for 59/318, 89/550, 702/119 is 3686202.