Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/842, 125/850, 341/826 quickly i.e. 895125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/842, 125/850, 341/826 is 895125.
LCM(42/842, 125/850, 341/826) = 895125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/842,125/850,341/826
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 42,125,341
Least Common Multiple of Numerators i.e. LCM of 42,125,341 is 1790250.
GCF of Denominators means GCF of 842,850,826 as per the given fractions.
GCF of 842,850,826 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,125,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 1790250
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 42,125,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,125,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,125,341) x common factors =1 x 1 = 1
LCM(42,125,341) = ( 42 × 125 × 341 ) / 1
LCM(42,125,341) = 1790250 / 1
LCM(42,125,341) = 1790250
Lets's calculate GCF of 842,850,826
2 | 842, 850, 826 |
421, 425, 413 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1790250/2
Therefore the LCM of Fractions 42/842,125/850,341/826 is 895125
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 842,850,826 . The biggest common factor number is the GCF number.
So the greatest common factor 842,850,826 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 42/842, 125/850, 341/826?
Answer: LCM of Numerators as per given numbers 42/842, 125/850, 341/826 is
LCM of Numerators i.e. for 42,125,341 is 1790250
GCF of denominators i.e. for 842,850,826 is 2.
Thus, LCM of Fractions is 895125.Finally, LCM of Fractions for 42/842, 125/850, 341/826 is 895125.