Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7054/908, 9900/7405 quickly i.e. 34917300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7054/908, 9900/7405 is 34917300.
LCM(7054/908, 9900/7405) = 34917300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7054/908,9900/7405
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 7054,9900
Least Common Multiple of Numerators i.e. LCM of 7054,9900 is 34917300.
GCF of Denominators means GCF of 908,7405 as per the given fractions.
GCF of 908,7405 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7054,9900
2 | 7054, 9900 |
3527, 4950 |
∴ So the LCM of the given numbers is 2 x 3527 x 4950 = 34917300
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 7054,9900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7054,9900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7054,9900) x common factors =2 x 1 = 2
LCM(7054,9900) = ( 7054 × 9900 ) / 2
LCM(7054,9900) = 69834600 / 2
LCM(7054,9900) = 34917300
Lets's calculate GCF of 908,7405
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34917300/1
Therefore the LCM of Fractions 7054/908,9900/7405 is 34917300
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 7405
List of positive integer factors of 7405 that divides 7405 without a remainder.
1,5,1481,7405
Greatest Common Factor
We found the factors 908,7405 . The biggest common factor number is the GCF number.
So the greatest common factor 908,7405 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 7054/908, 9900/7405?
Answer: LCM of Numerators as per given numbers 7054/908, 9900/7405 is
LCM of Numerators i.e. for 7054,9900 is 34917300
GCF of denominators i.e. for 908,7405 is 1.
Thus, LCM of Fractions is 34917300.Finally, LCM of Fractions for 7054/908, 9900/7405 is 34917300.