Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/423, 49/328, 532/246 quickly i.e. 167580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/423, 49/328, 532/246 is 167580.
LCM(45/423, 49/328, 532/246) = 167580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/423,49/328,532/246
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 45,49,532
Least Common Multiple of Numerators i.e. LCM of 45,49,532 is 167580.
GCF of Denominators means GCF of 423,328,246 as per the given fractions.
GCF of 423,328,246 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,49,532
7 | 45, 49, 532 |
45, 7, 76 |
∴ So the LCM of the given numbers is 7 x 45 x 7 x 76 = 167580
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 45,49,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,49,532) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(45,49,532) x common factors =1 x 7 = 7
LCM(45,49,532) = ( 45 × 49 × 532 ) / 7
LCM(45,49,532) = 1173060 / 7
LCM(45,49,532) = 167580
Lets's calculate GCF of 423,328,246
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167580/1
Therefore the LCM of Fractions 45/423,49/328,532/246 is 167580
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 423,328,246 . The biggest common factor number is the GCF number.
So the greatest common factor 423,328,246 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 45/423, 49/328, 532/246?
Answer: LCM of Numerators as per given numbers 45/423, 49/328, 532/246 is
LCM of Numerators i.e. for 45,49,532 is 167580
GCF of denominators i.e. for 423,328,246 is 1.
Thus, LCM of Fractions is 167580.Finally, LCM of Fractions for 45/423, 49/328, 532/246 is 167580.