Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4454/490, 7915/2080 quickly i.e. 3525341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4454/490, 7915/2080 is 3525341.
LCM(4454/490, 7915/2080) = 3525341
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4454/490,7915/2080
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 4454,7915
Least Common Multiple of Numerators i.e. LCM of 4454,7915 is 35253410.
GCF of Denominators means GCF of 490,2080 as per the given fractions.
GCF of 490,2080 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4454,7915
Given numbers has no common factors except 1. So, there LCM is their product i.e 35253410
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 4454,7915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4454,7915) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4454,7915) x common factors =1 x 1 = 1
LCM(4454,7915) = ( 4454 × 7915 ) / 1
LCM(4454,7915) = 35253410 / 1
LCM(4454,7915) = 35253410
Lets's calculate GCF of 490,2080
2 | 490, 2080 |
5 | 245, 1040 |
49, 208 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35253410/10
Therefore the LCM of Fractions 4454/490,7915/2080 is 3525341
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 2080
List of positive integer factors of 2080 that divides 2080 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Greatest Common Factor
We found the factors 490,2080 . The biggest common factor number is the GCF number.
So the greatest common factor 490,2080 is 10.
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 4454/490, 7915/2080?
Answer: LCM of Numerators as per given numbers 4454/490, 7915/2080 is
LCM of Numerators i.e. for 4454,7915 is 35253410
GCF of denominators i.e. for 490,2080 is 10.
Thus, LCM of Fractions is 3525341.Finally, LCM of Fractions for 4454/490, 7915/2080 is 3525341.