Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/47, 896/7001 quickly i.e. 146048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/47, 896/7001 is 146048.
LCM(652/47, 896/7001) = 146048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/47,896/7001
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 652,896
Least Common Multiple of Numerators i.e. LCM of 652,896 is 146048.
GCF of Denominators means GCF of 47,7001 as per the given fractions.
GCF of 47,7001 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,896
2 | 652, 896 |
2 | 326, 448 |
163, 224 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 224 = 146048
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 652,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,896) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,896) x common factors =4 x 1 = 4
LCM(652,896) = ( 652 × 896 ) / 4
LCM(652,896) = 584192 / 4
LCM(652,896) = 146048
Lets's calculate GCF of 47,7001
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146048/1
Therefore the LCM of Fractions 652/47,896/7001 is 146048
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 7001
List of positive integer factors of 7001 that divides 7001 without a remainder.
1,7001
Greatest Common Factor
We found the factors 47,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 47,7001 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 652/47, 896/7001?
Answer: LCM of Numerators as per given numbers 652/47, 896/7001 is
LCM of Numerators i.e. for 652,896 is 146048
GCF of denominators i.e. for 47,7001 is 1.
Thus, LCM of Fractions is 146048.Finally, LCM of Fractions for 652/47, 896/7001 is 146048.