Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1768/440, 7975/2958 quickly i.e. 7049900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1768/440, 7975/2958 is 7049900.
LCM(1768/440, 7975/2958) = 7049900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1768/440,7975/2958
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 1768,7975
Least Common Multiple of Numerators i.e. LCM of 1768,7975 is 14099800.
GCF of Denominators means GCF of 440,2958 as per the given fractions.
GCF of 440,2958 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1768,7975
Given numbers has no common factors except 1. So, there LCM is their product i.e 14099800
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 1768,7975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1768,7975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1768,7975) x common factors =1 x 1 = 1
LCM(1768,7975) = ( 1768 × 7975 ) / 1
LCM(1768,7975) = 14099800 / 1
LCM(1768,7975) = 14099800
Lets's calculate GCF of 440,2958
2 | 440, 2958 |
220, 1479 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14099800/2
Therefore the LCM of Fractions 1768/440,7975/2958 is 7049900
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 2958
List of positive integer factors of 2958 that divides 2958 without a remainder.
1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958
Greatest Common Factor
We found the factors 440,2958 . The biggest common factor number is the GCF number.
So the greatest common factor 440,2958 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 1768/440, 7975/2958?
Answer: LCM of Numerators as per given numbers 1768/440, 7975/2958 is
LCM of Numerators i.e. for 1768,7975 is 14099800
GCF of denominators i.e. for 440,2958 is 2.
Thus, LCM of Fractions is 7049900.Finally, LCM of Fractions for 1768/440, 7975/2958 is 7049900.