Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/257, 9948/9757 quickly i.e. 467556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/257, 9948/9757 is 467556.
LCM(94/257, 9948/9757) = 467556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/257,9948/9757
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 94,9948
Least Common Multiple of Numerators i.e. LCM of 94,9948 is 467556.
GCF of Denominators means GCF of 257,9757 as per the given fractions.
GCF of 257,9757 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,9948
2 | 94, 9948 |
47, 4974 |
∴ So the LCM of the given numbers is 2 x 47 x 4974 = 467556
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 94,9948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,9948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,9948) x common factors =2 x 1 = 2
LCM(94,9948) = ( 94 × 9948 ) / 2
LCM(94,9948) = 935112 / 2
LCM(94,9948) = 467556
Lets's calculate GCF of 257,9757
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467556/1
Therefore the LCM of Fractions 94/257,9948/9757 is 467556
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 9757
List of positive integer factors of 9757 that divides 9757 without a remainder.
1,11,887,9757
Greatest Common Factor
We found the factors 257,9757 . The biggest common factor number is the GCF number.
So the greatest common factor 257,9757 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 94/257, 9948/9757?
Answer: LCM of Numerators as per given numbers 94/257, 9948/9757 is
LCM of Numerators i.e. for 94,9948 is 467556
GCF of denominators i.e. for 257,9757 is 1.
Thus, LCM of Fractions is 467556.Finally, LCM of Fractions for 94/257, 9948/9757 is 467556.