Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 880/76, 459/2380 quickly i.e. 100980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 880/76, 459/2380 is 100980.
LCM(880/76, 459/2380) = 100980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 880/76,459/2380
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 880,459
Least Common Multiple of Numerators i.e. LCM of 880,459 is 403920.
GCF of Denominators means GCF of 76,2380 as per the given fractions.
GCF of 76,2380 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 880,459
Given numbers has no common factors except 1. So, there LCM is their product i.e 403920
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 880,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,459) x common factors =1 x 1 = 1
LCM(880,459) = ( 880 × 459 ) / 1
LCM(880,459) = 403920 / 1
LCM(880,459) = 403920
Lets's calculate GCF of 76,2380
2 | 76, 2380 |
2 | 38, 1190 |
19, 595 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403920/4
Therefore the LCM of Fractions 880/76,459/2380 is 100980
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 2380
List of positive integer factors of 2380 that divides 2380 without a remainder.
1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Greatest Common Factor
We found the factors 76,2380 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2380 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 880/76, 459/2380?
Answer: LCM of Numerators as per given numbers 880/76, 459/2380 is
LCM of Numerators i.e. for 880,459 is 403920
GCF of denominators i.e. for 76,2380 is 4.
Thus, LCM of Fractions is 100980.Finally, LCM of Fractions for 880/76, 459/2380 is 100980.