Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 742/69, 420/8292 quickly i.e. 7420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 742/69, 420/8292 is 7420.
LCM(742/69, 420/8292) = 7420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 742/69,420/8292
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 742,420
Least Common Multiple of Numerators i.e. LCM of 742,420 is 22260.
GCF of Denominators means GCF of 69,8292 as per the given fractions.
GCF of 69,8292 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 742,420
2 | 742, 420 |
7 | 371, 210 |
53, 30 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 30 = 22260
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 742,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,420) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(742,420) x common factors =14 x 1 = 14
LCM(742,420) = ( 742 × 420 ) / 14
LCM(742,420) = 311640 / 14
LCM(742,420) = 22260
Lets's calculate GCF of 69,8292
3 | 69, 8292 |
23, 2764 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22260/3
Therefore the LCM of Fractions 742/69,420/8292 is 7420
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 8292
List of positive integer factors of 8292 that divides 8292 without a remainder.
1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Greatest Common Factor
We found the factors 69,8292 . The biggest common factor number is the GCF number.
So the greatest common factor 69,8292 is 3.
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 742/69, 420/8292?
Answer: LCM of Numerators as per given numbers 742/69, 420/8292 is
LCM of Numerators i.e. for 742,420 is 22260
GCF of denominators i.e. for 69,8292 is 3.
Thus, LCM of Fractions is 7420.Finally, LCM of Fractions for 742/69, 420/8292 is 7420.