Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 880/453, 8955/6690 quickly i.e. 525360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 880/453, 8955/6690 is 525360.
LCM(880/453, 8955/6690) = 525360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 880/453,8955/6690
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 880,8955
Least Common Multiple of Numerators i.e. LCM of 880,8955 is 1576080.
GCF of Denominators means GCF of 453,6690 as per the given fractions.
GCF of 453,6690 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 880,8955
5 | 880, 8955 |
176, 1791 |
∴ So the LCM of the given numbers is 5 x 176 x 1791 = 1576080
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 880,8955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,8955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(880,8955) x common factors =5 x 1 = 5
LCM(880,8955) = ( 880 × 8955 ) / 5
LCM(880,8955) = 7880400 / 5
LCM(880,8955) = 1576080
Lets's calculate GCF of 453,6690
3 | 453, 6690 |
151, 2230 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576080/3
Therefore the LCM of Fractions 880/453,8955/6690 is 525360
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 6690
List of positive integer factors of 6690 that divides 6690 without a remainder.
1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690
Greatest Common Factor
We found the factors 453,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 453,6690 is 3.
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 880/453, 8955/6690?
Answer: LCM of Numerators as per given numbers 880/453, 8955/6690 is
LCM of Numerators i.e. for 880,8955 is 1576080
GCF of denominators i.e. for 453,6690 is 3.
Thus, LCM of Fractions is 525360.Finally, LCM of Fractions for 880/453, 8955/6690 is 525360.