Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9658/314, 3454/702 quickly i.e. 758153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9658/314, 3454/702 is 758153.
LCM(9658/314, 3454/702) = 758153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9658/314,3454/702
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 9658,3454
Least Common Multiple of Numerators i.e. LCM of 9658,3454 is 1516306.
GCF of Denominators means GCF of 314,702 as per the given fractions.
GCF of 314,702 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9658,3454
2 | 9658, 3454 |
11 | 4829, 1727 |
439, 157 |
∴ So the LCM of the given numbers is 2 x 11 x 439 x 157 = 1516306
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 9658,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9658,3454) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(9658,3454) x common factors =22 x 1 = 22
LCM(9658,3454) = ( 9658 × 3454 ) / 22
LCM(9658,3454) = 33358732 / 22
LCM(9658,3454) = 1516306
Lets's calculate GCF of 314,702
2 | 314, 702 |
157, 351 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516306/2
Therefore the LCM of Fractions 9658/314,3454/702 is 758153
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 314,702 . The biggest common factor number is the GCF number.
So the greatest common factor 314,702 is 2.
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 9658/314, 3454/702?
Answer: LCM of Numerators as per given numbers 9658/314, 3454/702 is
LCM of Numerators i.e. for 9658,3454 is 1516306
GCF of denominators i.e. for 314,702 is 2.
Thus, LCM of Fractions is 758153.Finally, LCM of Fractions for 9658/314, 3454/702 is 758153.