Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 357/70, 3418/969 quickly i.e. 1220226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 357/70, 3418/969 is 1220226.
LCM(357/70, 3418/969) = 1220226
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 357/70,3418/969
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 357,3418
Least Common Multiple of Numerators i.e. LCM of 357,3418 is 1220226.
GCF of Denominators means GCF of 70,969 as per the given fractions.
GCF of 70,969 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 357,3418
Given numbers has no common factors except 1. So, there LCM is their product i.e 1220226
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 357,3418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,3418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,3418) x common factors =1 x 1 = 1
LCM(357,3418) = ( 357 × 3418 ) / 1
LCM(357,3418) = 1220226 / 1
LCM(357,3418) = 1220226
Lets's calculate GCF of 70,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1220226/1
Therefore the LCM of Fractions 357/70,3418/969 is 1220226
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 70,969 . The biggest common factor number is the GCF number.
So the greatest common factor 70,969 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 357/70, 3418/969?
Answer: LCM of Numerators as per given numbers 357/70, 3418/969 is
LCM of Numerators i.e. for 357,3418 is 1220226
GCF of denominators i.e. for 70,969 is 1.
Thus, LCM of Fractions is 1220226.Finally, LCM of Fractions for 357/70, 3418/969 is 1220226.