Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 762/32, 603/94, 204/885 quickly i.e. 5207508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 762/32, 603/94, 204/885 is 5207508.
LCM(762/32, 603/94, 204/885) = 5207508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 762/32,603/94,204/885
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 762,603,204
Least Common Multiple of Numerators i.e. LCM of 762,603,204 is 5207508.
GCF of Denominators means GCF of 32,94,885 as per the given fractions.
GCF of 32,94,885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 762,603,204
2 | 762, 603, 204 |
3 | 381, 603, 102 |
127, 201, 34 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 201 x 34 = 5207508
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 762,603,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,603,204) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(762,603,204) x common factors =3 x 6 = 18
LCM(762,603,204) = ( 762 × 603 × 204 ) / 18
LCM(762,603,204) = 93735144 / 18
LCM(762,603,204) = 5207508
Lets's calculate GCF of 32,94,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5207508/1
Therefore the LCM of Fractions 762/32,603/94,204/885 is 5207508
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 32,94,885 . The biggest common factor number is the GCF number.
So the greatest common factor 32,94,885 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 762/32, 603/94, 204/885?
Answer: LCM of Numerators as per given numbers 762/32, 603/94, 204/885 is
LCM of Numerators i.e. for 762,603,204 is 5207508
GCF of denominators i.e. for 32,94,885 is 1.
Thus, LCM of Fractions is 5207508.Finally, LCM of Fractions for 762/32, 603/94, 204/885 is 5207508.