Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/139, 7635/7454 quickly i.e. 1366665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/139, 7635/7454 is 1366665.
LCM(895/139, 7635/7454) = 1366665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/139,7635/7454
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 895,7635
Least Common Multiple of Numerators i.e. LCM of 895,7635 is 1366665.
GCF of Denominators means GCF of 139,7454 as per the given fractions.
GCF of 139,7454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,7635
5 | 895, 7635 |
179, 1527 |
∴ So the LCM of the given numbers is 5 x 179 x 1527 = 1366665
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 895,7635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,7635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(895,7635) x common factors =5 x 1 = 5
LCM(895,7635) = ( 895 × 7635 ) / 5
LCM(895,7635) = 6833325 / 5
LCM(895,7635) = 1366665
Lets's calculate GCF of 139,7454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1366665/1
Therefore the LCM of Fractions 895/139,7635/7454 is 1366665
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 7454
List of positive integer factors of 7454 that divides 7454 without a remainder.
1,2,3727,7454
Greatest Common Factor
We found the factors 139,7454 . The biggest common factor number is the GCF number.
So the greatest common factor 139,7454 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 895/139, 7635/7454?
Answer: LCM of Numerators as per given numbers 895/139, 7635/7454 is
LCM of Numerators i.e. for 895,7635 is 1366665
GCF of denominators i.e. for 139,7454 is 1.
Thus, LCM of Fractions is 1366665.Finally, LCM of Fractions for 895/139, 7635/7454 is 1366665.