Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8270/892, 6264/155 quickly i.e. 25901640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8270/892, 6264/155 is 25901640.
LCM(8270/892, 6264/155) = 25901640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8270/892,6264/155
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 8270,6264
Least Common Multiple of Numerators i.e. LCM of 8270,6264 is 25901640.
GCF of Denominators means GCF of 892,155 as per the given fractions.
GCF of 892,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8270,6264
2 | 8270, 6264 |
4135, 3132 |
∴ So the LCM of the given numbers is 2 x 4135 x 3132 = 25901640
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 8270,6264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8270,6264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8270,6264) x common factors =2 x 1 = 2
LCM(8270,6264) = ( 8270 × 6264 ) / 2
LCM(8270,6264) = 51803280 / 2
LCM(8270,6264) = 25901640
Lets's calculate GCF of 892,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25901640/1
Therefore the LCM of Fractions 8270/892,6264/155 is 25901640
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 892,155 . The biggest common factor number is the GCF number.
So the greatest common factor 892,155 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 8270/892, 6264/155?
Answer: LCM of Numerators as per given numbers 8270/892, 6264/155 is
LCM of Numerators i.e. for 8270,6264 is 25901640
GCF of denominators i.e. for 892,155 is 1.
Thus, LCM of Fractions is 25901640.Finally, LCM of Fractions for 8270/892, 6264/155 is 25901640.