Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 983/109, 962/351 quickly i.e. 945646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 983/109, 962/351 is 945646.
LCM(983/109, 962/351) = 945646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 983/109,962/351
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 983,962
Least Common Multiple of Numerators i.e. LCM of 983,962 is 945646.
GCF of Denominators means GCF of 109,351 as per the given fractions.
GCF of 109,351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 983,962
Given numbers has no common factors except 1. So, there LCM is their product i.e 945646
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 983,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,962) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,962) x common factors =1 x 1 = 1
LCM(983,962) = ( 983 × 962 ) / 1
LCM(983,962) = 945646 / 1
LCM(983,962) = 945646
Lets's calculate GCF of 109,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945646/1
Therefore the LCM of Fractions 983/109,962/351 is 945646
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 109,351 . The biggest common factor number is the GCF number.
So the greatest common factor 109,351 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 983/109, 962/351?
Answer: LCM of Numerators as per given numbers 983/109, 962/351 is
LCM of Numerators i.e. for 983,962 is 945646
GCF of denominators i.e. for 109,351 is 1.
Thus, LCM of Fractions is 945646.Finally, LCM of Fractions for 983/109, 962/351 is 945646.