Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 381/36, 490/49, 925/419 quickly i.e. 34537650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 381/36, 490/49, 925/419 is 34537650.
LCM(381/36, 490/49, 925/419) = 34537650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 381/36,490/49,925/419
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 381,490,925
Least Common Multiple of Numerators i.e. LCM of 381,490,925 is 34537650.
GCF of Denominators means GCF of 36,49,419 as per the given fractions.
GCF of 36,49,419 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 381,490,925
5 | 381, 490, 925 |
381, 98, 185 |
∴ So the LCM of the given numbers is 5 x 381 x 98 x 185 = 34537650
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 381,490,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,490,925) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(381,490,925) x common factors =1 x 5 = 5
LCM(381,490,925) = ( 381 × 490 × 925 ) / 5
LCM(381,490,925) = 172688250 / 5
LCM(381,490,925) = 34537650
Lets's calculate GCF of 36,49,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34537650/1
Therefore the LCM of Fractions 381/36,490/49,925/419 is 34537650
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 36,49,419 . The biggest common factor number is the GCF number.
So the greatest common factor 36,49,419 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 381/36, 490/49, 925/419?
Answer: LCM of Numerators as per given numbers 381/36, 490/49, 925/419 is
LCM of Numerators i.e. for 381,490,925 is 34537650
GCF of denominators i.e. for 36,49,419 is 1.
Thus, LCM of Fractions is 34537650.Finally, LCM of Fractions for 381/36, 490/49, 925/419 is 34537650.