Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 758/356, 337/532 quickly i.e. 255446/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 758/356, 337/532 is 255446/4.
LCM(758/356, 337/532) = 255446/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 758/356,337/532
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 758,337
Least Common Multiple of Numerators i.e. LCM of 758,337 is 255446.
GCF of Denominators means GCF of 356,532 as per the given fractions.
GCF of 356,532 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 758,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 255446
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 758,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,337) x common factors =1 x 1 = 1
LCM(758,337) = ( 758 × 337 ) / 1
LCM(758,337) = 255446 / 1
LCM(758,337) = 255446
Lets's calculate GCF of 356,532
2 | 356, 532 |
2 | 178, 266 |
89, 133 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255446/4
Therefore the LCM of Fractions 758/356,337/532 is 255446/4
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
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 356,532 . The biggest common factor number is the GCF number.
So the greatest common factor 356,532 is 4.
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 758/356, 337/532?
Answer: LCM of Numerators as per given numbers 758/356, 337/532 is
LCM of Numerators i.e. for 758,337 is 255446
GCF of denominators i.e. for 356,532 is 4.
Thus, LCM of Fractions is 255446/4.Finally, LCM of Fractions for 758/356, 337/532 is 255446/4.