Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/719, 693/781, 685/798 quickly i.e. 1898820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/719, 693/781, 685/798 is 1898820.
LCM(20/719, 693/781, 685/798) = 1898820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/719,693/781,685/798
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 20,693,685
Least Common Multiple of Numerators i.e. LCM of 20,693,685 is 1898820.
GCF of Denominators means GCF of 719,781,798 as per the given fractions.
GCF of 719,781,798 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,693,685
5 | 20, 693, 685 |
4, 693, 137 |
∴ So the LCM of the given numbers is 5 x 4 x 693 x 137 = 1898820
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 20,693,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,693,685) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(20,693,685) x common factors =1 x 5 = 5
LCM(20,693,685) = ( 20 × 693 × 685 ) / 5
LCM(20,693,685) = 9494100 / 5
LCM(20,693,685) = 1898820
Lets's calculate GCF of 719,781,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1898820/1
Therefore the LCM of Fractions 20/719,693/781,685/798 is 1898820
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 719,781,798 . The biggest common factor number is the GCF number.
So the greatest common factor 719,781,798 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 20/719, 693/781, 685/798?
Answer: LCM of Numerators as per given numbers 20/719, 693/781, 685/798 is
LCM of Numerators i.e. for 20,693,685 is 1898820
GCF of denominators i.e. for 719,781,798 is 1.
Thus, LCM of Fractions is 1898820.Finally, LCM of Fractions for 20/719, 693/781, 685/798 is 1898820.