Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/773, 549/155, 852/302 quickly i.e. 3897900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/773, 549/155, 852/302 is 3897900.
LCM(75/773, 549/155, 852/302) = 3897900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/773,549/155,852/302
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 75,549,852
Least Common Multiple of Numerators i.e. LCM of 75,549,852 is 3897900.
GCF of Denominators means GCF of 773,155,302 as per the given fractions.
GCF of 773,155,302 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,549,852
3 | 75, 549, 852 |
25, 183, 284 |
∴ So the LCM of the given numbers is 3 x 25 x 183 x 284 = 3897900
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 75,549,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,549,852) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(75,549,852) x common factors =3 x 3 = 9
LCM(75,549,852) = ( 75 × 549 × 852 ) / 9
LCM(75,549,852) = 35081100 / 9
LCM(75,549,852) = 3897900
Lets's calculate GCF of 773,155,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3897900/1
Therefore the LCM of Fractions 75/773,549/155,852/302 is 3897900
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 773,155,302 . The biggest common factor number is the GCF number.
So the greatest common factor 773,155,302 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 75/773, 549/155, 852/302?
Answer: LCM of Numerators as per given numbers 75/773, 549/155, 852/302 is
LCM of Numerators i.e. for 75,549,852 is 3897900
GCF of denominators i.e. for 773,155,302 is 1.
Thus, LCM of Fractions is 3897900.Finally, LCM of Fractions for 75/773, 549/155, 852/302 is 3897900.