Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 320/528, 5139/8948 quickly i.e. 411120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 320/528, 5139/8948 is 411120.
LCM(320/528, 5139/8948) = 411120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 320/528,5139/8948
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 320,5139
Least Common Multiple of Numerators i.e. LCM of 320,5139 is 1644480.
GCF of Denominators means GCF of 528,8948 as per the given fractions.
GCF of 528,8948 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 320,5139
Given numbers has no common factors except 1. So, there LCM is their product i.e 1644480
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 320,5139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,5139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,5139) x common factors =1 x 1 = 1
LCM(320,5139) = ( 320 × 5139 ) / 1
LCM(320,5139) = 1644480 / 1
LCM(320,5139) = 1644480
Lets's calculate GCF of 528,8948
2 | 528, 8948 |
2 | 264, 4474 |
132, 2237 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1644480/4
Therefore the LCM of Fractions 320/528,5139/8948 is 411120
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 8948
List of positive integer factors of 8948 that divides 8948 without a remainder.
1,2,4,2237,4474,8948
Greatest Common Factor
We found the factors 528,8948 . The biggest common factor number is the GCF number.
So the greatest common factor 528,8948 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 320/528, 5139/8948?
Answer: LCM of Numerators as per given numbers 320/528, 5139/8948 is
LCM of Numerators i.e. for 320,5139 is 1644480
GCF of denominators i.e. for 528,8948 is 4.
Thus, LCM of Fractions is 411120.Finally, LCM of Fractions for 320/528, 5139/8948 is 411120.