Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6903/745, 9614/126 quickly i.e. 66365442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6903/745, 9614/126 is 66365442.
LCM(6903/745, 9614/126) = 66365442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6903/745,9614/126
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 6903,9614
Least Common Multiple of Numerators i.e. LCM of 6903,9614 is 66365442.
GCF of Denominators means GCF of 745,126 as per the given fractions.
GCF of 745,126 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6903,9614
Given numbers has no common factors except 1. So, there LCM is their product i.e 66365442
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 6903,9614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6903,9614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6903,9614) x common factors =1 x 1 = 1
LCM(6903,9614) = ( 6903 × 9614 ) / 1
LCM(6903,9614) = 66365442 / 1
LCM(6903,9614) = 66365442
Lets's calculate GCF of 745,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66365442/1
Therefore the LCM of Fractions 6903/745,9614/126 is 66365442
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 745,126 . The biggest common factor number is the GCF number.
So the greatest common factor 745,126 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 6903/745, 9614/126?
Answer: LCM of Numerators as per given numbers 6903/745, 9614/126 is
LCM of Numerators i.e. for 6903,9614 is 66365442
GCF of denominators i.e. for 745,126 is 1.
Thus, LCM of Fractions is 66365442.Finally, LCM of Fractions for 6903/745, 9614/126 is 66365442.