Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/836, 9636/642 quickly i.e. 457710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/836, 9636/642 is 457710.
LCM(190/836, 9636/642) = 457710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/836,9636/642
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 190,9636
Least Common Multiple of Numerators i.e. LCM of 190,9636 is 915420.
GCF of Denominators means GCF of 836,642 as per the given fractions.
GCF of 836,642 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,9636
2 | 190, 9636 |
95, 4818 |
∴ So the LCM of the given numbers is 2 x 95 x 4818 = 915420
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 190,9636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,9636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,9636) x common factors =2 x 1 = 2
LCM(190,9636) = ( 190 × 9636 ) / 2
LCM(190,9636) = 1830840 / 2
LCM(190,9636) = 915420
Lets's calculate GCF of 836,642
2 | 836, 642 |
418, 321 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 915420/2
Therefore the LCM of Fractions 190/836,9636/642 is 457710
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 836,642 . The biggest common factor number is the GCF number.
So the greatest common factor 836,642 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 190/836, 9636/642?
Answer: LCM of Numerators as per given numbers 190/836, 9636/642 is
LCM of Numerators i.e. for 190,9636 is 915420
GCF of denominators i.e. for 836,642 is 2.
Thus, LCM of Fractions is 457710.Finally, LCM of Fractions for 190/836, 9636/642 is 457710.