Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/842, 764/240 quickly i.e. 302162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/842, 764/240 is 302162.
LCM(791/842, 764/240) = 302162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/842,764/240
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 791,764
Least Common Multiple of Numerators i.e. LCM of 791,764 is 604324.
GCF of Denominators means GCF of 842,240 as per the given fractions.
GCF of 842,240 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,764
Given numbers has no common factors except 1. So, there LCM is their product i.e 604324
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 791,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,764) x common factors =1 x 1 = 1
LCM(791,764) = ( 791 × 764 ) / 1
LCM(791,764) = 604324 / 1
LCM(791,764) = 604324
Lets's calculate GCF of 842,240
2 | 842, 240 |
421, 120 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604324/2
Therefore the LCM of Fractions 791/842,764/240 is 302162
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 842,240 . The biggest common factor number is the GCF number.
So the greatest common factor 842,240 is 2.
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 791/842, 764/240?
Answer: LCM of Numerators as per given numbers 791/842, 764/240 is
LCM of Numerators i.e. for 791,764 is 604324
GCF of denominators i.e. for 842,240 is 2.
Thus, LCM of Fractions is 302162.Finally, LCM of Fractions for 791/842, 764/240 is 302162.