Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/844, 3431/6856 quickly i.e. 144102/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/844, 3431/6856 is 144102/4.
LCM(42/844, 3431/6856) = 144102/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/844,3431/6856
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 42,3431
Least Common Multiple of Numerators i.e. LCM of 42,3431 is 144102.
GCF of Denominators means GCF of 844,6856 as per the given fractions.
GCF of 844,6856 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,3431
Given numbers has no common factors except 1. So, there LCM is their product i.e 144102
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 42,3431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,3431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,3431) x common factors =1 x 1 = 1
LCM(42,3431) = ( 42 × 3431 ) / 1
LCM(42,3431) = 144102 / 1
LCM(42,3431) = 144102
Lets's calculate GCF of 844,6856
2 | 844, 6856 |
2 | 422, 3428 |
211, 1714 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144102/4
Therefore the LCM of Fractions 42/844,3431/6856 is 144102/4
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 6856
List of positive integer factors of 6856 that divides 6856 without a remainder.
1,2,4,8,857,1714,3428,6856
Greatest Common Factor
We found the factors 844,6856 . The biggest common factor number is the GCF number.
So the greatest common factor 844,6856 is 4.
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 42/844, 3431/6856?
Answer: LCM of Numerators as per given numbers 42/844, 3431/6856 is
LCM of Numerators i.e. for 42,3431 is 144102
GCF of denominators i.e. for 844,6856 is 4.
Thus, LCM of Fractions is 144102/4.Finally, LCM of Fractions for 42/844, 3431/6856 is 144102/4.