Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/97, 938/7099 quickly i.e. 436170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/97, 938/7099 is 436170.
LCM(930/97, 938/7099) = 436170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/97,938/7099
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 930,938
Least Common Multiple of Numerators i.e. LCM of 930,938 is 436170.
GCF of Denominators means GCF of 97,7099 as per the given fractions.
GCF of 97,7099 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,938
2 | 930, 938 |
465, 469 |
∴ So the LCM of the given numbers is 2 x 465 x 469 = 436170
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 930,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,938) x common factors =2 x 1 = 2
LCM(930,938) = ( 930 × 938 ) / 2
LCM(930,938) = 872340 / 2
LCM(930,938) = 436170
Lets's calculate GCF of 97,7099
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436170/1
Therefore the LCM of Fractions 930/97,938/7099 is 436170
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 7099
List of positive integer factors of 7099 that divides 7099 without a remainder.
1,31,229,7099
Greatest Common Factor
We found the factors 97,7099 . The biggest common factor number is the GCF number.
So the greatest common factor 97,7099 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 930/97, 938/7099?
Answer: LCM of Numerators as per given numbers 930/97, 938/7099 is
LCM of Numerators i.e. for 930,938 is 436170
GCF of denominators i.e. for 97,7099 is 1.
Thus, LCM of Fractions is 436170.Finally, LCM of Fractions for 930/97, 938/7099 is 436170.