Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/962, 1402/7237 quickly i.e. 32246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/962, 1402/7237 is 32246.
LCM(46/962, 1402/7237) = 32246
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/962,1402/7237
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 46,1402
Least Common Multiple of Numerators i.e. LCM of 46,1402 is 32246.
GCF of Denominators means GCF of 962,7237 as per the given fractions.
GCF of 962,7237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,1402
2 | 46, 1402 |
23, 701 |
∴ So the LCM of the given numbers is 2 x 23 x 701 = 32246
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 46,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,1402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(46,1402) x common factors =2 x 1 = 2
LCM(46,1402) = ( 46 × 1402 ) / 2
LCM(46,1402) = 64492 / 2
LCM(46,1402) = 32246
Lets's calculate GCF of 962,7237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32246/1
Therefore the LCM of Fractions 46/962,1402/7237 is 32246
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 7237
List of positive integer factors of 7237 that divides 7237 without a remainder.
1,7237
Greatest Common Factor
We found the factors 962,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 962,7237 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 46/962, 1402/7237?
Answer: LCM of Numerators as per given numbers 46/962, 1402/7237 is
LCM of Numerators i.e. for 46,1402 is 32246
GCF of denominators i.e. for 962,7237 is 1.
Thus, LCM of Fractions is 32246.Finally, LCM of Fractions for 46/962, 1402/7237 is 32246.