Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/424, 1695/8839 quickly i.e. 23730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/424, 1695/8839 is 23730.
LCM(70/424, 1695/8839) = 23730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/424,1695/8839
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 70,1695
Least Common Multiple of Numerators i.e. LCM of 70,1695 is 23730.
GCF of Denominators means GCF of 424,8839 as per the given fractions.
GCF of 424,8839 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,1695
5 | 70, 1695 |
14, 339 |
∴ So the LCM of the given numbers is 5 x 14 x 339 = 23730
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 70,1695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,1695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,1695) x common factors =5 x 1 = 5
LCM(70,1695) = ( 70 × 1695 ) / 5
LCM(70,1695) = 118650 / 5
LCM(70,1695) = 23730
Lets's calculate GCF of 424,8839
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23730/1
Therefore the LCM of Fractions 70/424,1695/8839 is 23730
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 8839
List of positive integer factors of 8839 that divides 8839 without a remainder.
1,8839
Greatest Common Factor
We found the factors 424,8839 . The biggest common factor number is the GCF number.
So the greatest common factor 424,8839 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 70/424, 1695/8839?
Answer: LCM of Numerators as per given numbers 70/424, 1695/8839 is
LCM of Numerators i.e. for 70,1695 is 23730
GCF of denominators i.e. for 424,8839 is 1.
Thus, LCM of Fractions is 23730.Finally, LCM of Fractions for 70/424, 1695/8839 is 23730.