Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/749, 61/842, 149/532 quickly i.e. 445361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/749, 61/842, 149/532 is 445361.
LCM(49/749, 61/842, 149/532) = 445361
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/749,61/842,149/532
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 49,61,149
Least Common Multiple of Numerators i.e. LCM of 49,61,149 is 445361.
GCF of Denominators means GCF of 749,842,532 as per the given fractions.
GCF of 749,842,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,61,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 445361
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 49,61,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,61,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,61,149) x common factors =1 x 1 = 1
LCM(49,61,149) = ( 49 × 61 × 149 ) / 1
LCM(49,61,149) = 445361 / 1
LCM(49,61,149) = 445361
Lets's calculate GCF of 749,842,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445361/1
Therefore the LCM of Fractions 49/749,61/842,149/532 is 445361
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 749,842,532 . The biggest common factor number is the GCF number.
So the greatest common factor 749,842,532 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 49/749, 61/842, 149/532?
Answer: LCM of Numerators as per given numbers 49/749, 61/842, 149/532 is
LCM of Numerators i.e. for 49,61,149 is 445361
GCF of denominators i.e. for 749,842,532 is 1.
Thus, LCM of Fractions is 445361.Finally, LCM of Fractions for 49/749, 61/842, 149/532 is 445361.