Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 791/701, 2324/4206 quickly i.e. 262612/701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 791/701, 2324/4206 is 262612/701.
LCM(791/701, 2324/4206) = 262612/701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 791/701,2324/4206
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 791,2324
Least Common Multiple of Numerators i.e. LCM of 791,2324 is 262612.
GCF of Denominators means GCF of 701,4206 as per the given fractions.
GCF of 701,4206 is 701 as it is the largest common factor for these numbers.
Lets's calculate LCM of 791,2324
7 | 791, 2324 |
113, 332 |
∴ So the LCM of the given numbers is 7 x 113 x 332 = 262612
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 791,2324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,2324) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(791,2324) x common factors =7 x 1 = 7
LCM(791,2324) = ( 791 × 2324 ) / 7
LCM(791,2324) = 1838284 / 7
LCM(791,2324) = 262612
Lets's calculate GCF of 701,4206
701 | 701, 4206 |
1, 6 |
∴ So the GCF of the given numbers is 701 = 701
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262612/701
Therefore the LCM of Fractions 791/701,2324/4206 is 262612/701
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 4206
List of positive integer factors of 4206 that divides 4206 without a remainder.
1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 701,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 701,4206 is 701.
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 791/701, 2324/4206?
Answer: LCM of Numerators as per given numbers 791/701, 2324/4206 is
LCM of Numerators i.e. for 791,2324 is 262612
GCF of denominators i.e. for 701,4206 is 701.
Thus, LCM of Fractions is 262612/701.Finally, LCM of Fractions for 791/701, 2324/4206 is 262612/701.