Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/980, 96/578, 43/800 quickly i.e. 2064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/980, 96/578, 43/800 is 2064.
LCM(1/980, 96/578, 43/800) = 2064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/980,96/578,43/800
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 1,96,43
Least Common Multiple of Numerators i.e. LCM of 1,96,43 is 4128.
GCF of Denominators means GCF of 980,578,800 as per the given fractions.
GCF of 980,578,800 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,96,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 4128
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 1,96,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,96,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,96,43) x common factors =1 x 1 = 1
LCM(1,96,43) = ( 1 × 96 × 43 ) / 1
LCM(1,96,43) = 4128 / 1
LCM(1,96,43) = 4128
Lets's calculate GCF of 980,578,800
2 | 980, 578, 800 |
490, 289, 400 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4128/2
Therefore the LCM of Fractions 1/980,96/578,43/800 is 2064
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 980,578,800 . The biggest common factor number is the GCF number.
So the greatest common factor 980,578,800 is 2.
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 1/980, 96/578, 43/800?
Answer: LCM of Numerators as per given numbers 1/980, 96/578, 43/800 is
LCM of Numerators i.e. for 1,96,43 is 4128
GCF of denominators i.e. for 980,578,800 is 2.
Thus, LCM of Fractions is 2064.Finally, LCM of Fractions for 1/980, 96/578, 43/800 is 2064.