Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/670, 948/876, 268/842 quickly i.e. 793950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/670, 948/876, 268/842 is 793950.
LCM(25/670, 948/876, 268/842) = 793950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/670,948/876,268/842
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 25,948,268
Least Common Multiple of Numerators i.e. LCM of 25,948,268 is 1587900.
GCF of Denominators means GCF of 670,876,842 as per the given fractions.
GCF of 670,876,842 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,948,268
2 | 25, 948, 268 |
2 | 25, 474, 134 |
25, 237, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 25 x 237 x 67 = 1587900
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 25,948,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,948,268) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(25,948,268) x common factors =1 x 4 = 4
LCM(25,948,268) = ( 25 × 948 × 268 ) / 4
LCM(25,948,268) = 6351600 / 4
LCM(25,948,268) = 1587900
Lets's calculate GCF of 670,876,842
2 | 670, 876, 842 |
335, 438, 421 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1587900/2
Therefore the LCM of Fractions 25/670,948/876,268/842 is 793950
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 670,876,842 . The biggest common factor number is the GCF number.
So the greatest common factor 670,876,842 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 25/670, 948/876, 268/842?
Answer: LCM of Numerators as per given numbers 25/670, 948/876, 268/842 is
LCM of Numerators i.e. for 25,948,268 is 1587900
GCF of denominators i.e. for 670,876,842 is 2.
Thus, LCM of Fractions is 793950.Finally, LCM of Fractions for 25/670, 948/876, 268/842 is 793950.