Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 670/539, 7118/8921 quickly i.e. 2384530/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 670/539, 7118/8921 is 2384530/11.
LCM(670/539, 7118/8921) = 2384530/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 670/539,7118/8921
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 670,7118
Least Common Multiple of Numerators i.e. LCM of 670,7118 is 2384530.
GCF of Denominators means GCF of 539,8921 as per the given fractions.
GCF of 539,8921 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 670,7118
2 | 670, 7118 |
335, 3559 |
∴ So the LCM of the given numbers is 2 x 335 x 3559 = 2384530
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 670,7118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,7118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,7118) x common factors =2 x 1 = 2
LCM(670,7118) = ( 670 × 7118 ) / 2
LCM(670,7118) = 4769060 / 2
LCM(670,7118) = 2384530
Lets's calculate GCF of 539,8921
11 | 539, 8921 |
49, 811 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2384530/11
Therefore the LCM of Fractions 670/539,7118/8921 is 2384530/11
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 8921
List of positive integer factors of 8921 that divides 8921 without a remainder.
1,11,811,8921
Greatest Common Factor
We found the factors 539,8921 . The biggest common factor number is the GCF number.
So the greatest common factor 539,8921 is 11.
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 670/539, 7118/8921?
Answer: LCM of Numerators as per given numbers 670/539, 7118/8921 is
LCM of Numerators i.e. for 670,7118 is 2384530
GCF of denominators i.e. for 539,8921 is 11.
Thus, LCM of Fractions is 2384530/11.Finally, LCM of Fractions for 670/539, 7118/8921 is 2384530/11.