Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2930/448, 2757/395 quickly i.e. 8078010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2930/448, 2757/395 is 8078010.
LCM(2930/448, 2757/395) = 8078010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2930/448,2757/395
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 2930,2757
Least Common Multiple of Numerators i.e. LCM of 2930,2757 is 8078010.
GCF of Denominators means GCF of 448,395 as per the given fractions.
GCF of 448,395 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2930,2757
Given numbers has no common factors except 1. So, there LCM is their product i.e 8078010
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 2930,2757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2930,2757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2930,2757) x common factors =1 x 1 = 1
LCM(2930,2757) = ( 2930 × 2757 ) / 1
LCM(2930,2757) = 8078010 / 1
LCM(2930,2757) = 8078010
Lets's calculate GCF of 448,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8078010/1
Therefore the LCM of Fractions 2930/448,2757/395 is 8078010
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Greatest Common Factor
We found the factors 448,395 . The biggest common factor number is the GCF number.
So the greatest common factor 448,395 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 2930/448, 2757/395?
Answer: LCM of Numerators as per given numbers 2930/448, 2757/395 is
LCM of Numerators i.e. for 2930,2757 is 8078010
GCF of denominators i.e. for 448,395 is 1.
Thus, LCM of Fractions is 8078010.Finally, LCM of Fractions for 2930/448, 2757/395 is 8078010.