Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/95, 628/4428 quickly i.e. 562060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/95, 628/4428 is 562060.
LCM(895/95, 628/4428) = 562060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/95,628/4428
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 895,628
Least Common Multiple of Numerators i.e. LCM of 895,628 is 562060.
GCF of Denominators means GCF of 95,4428 as per the given fractions.
GCF of 95,4428 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 562060
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 895,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,628) x common factors =1 x 1 = 1
LCM(895,628) = ( 895 × 628 ) / 1
LCM(895,628) = 562060 / 1
LCM(895,628) = 562060
Lets's calculate GCF of 95,4428
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562060/1
Therefore the LCM of Fractions 895/95,628/4428 is 562060
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 4428
List of positive integer factors of 4428 that divides 4428 without a remainder.
1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors 95,4428 . The biggest common factor number is the GCF number.
So the greatest common factor 95,4428 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 895/95, 628/4428?
Answer: LCM of Numerators as per given numbers 895/95, 628/4428 is
LCM of Numerators i.e. for 895,628 is 562060
GCF of denominators i.e. for 95,4428 is 1.
Thus, LCM of Fractions is 562060.Finally, LCM of Fractions for 895/95, 628/4428 is 562060.