Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 940/753, 6208/3438 quickly i.e. 1458880/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 940/753, 6208/3438 is 1458880/3.
LCM(940/753, 6208/3438) = 1458880/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 940/753,6208/3438
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 940,6208
Least Common Multiple of Numerators i.e. LCM of 940,6208 is 1458880.
GCF of Denominators means GCF of 753,3438 as per the given fractions.
GCF of 753,3438 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 940,6208
2 | 940, 6208 |
2 | 470, 3104 |
235, 1552 |
∴ So the LCM of the given numbers is 2 x 2 x 235 x 1552 = 1458880
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 940,6208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,6208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(940,6208) x common factors =4 x 1 = 4
LCM(940,6208) = ( 940 × 6208 ) / 4
LCM(940,6208) = 5835520 / 4
LCM(940,6208) = 1458880
Lets's calculate GCF of 753,3438
3 | 753, 3438 |
251, 1146 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1458880/3
Therefore the LCM of Fractions 940/753,6208/3438 is 1458880/3
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 3438
List of positive integer factors of 3438 that divides 3438 without a remainder.
1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 753,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 753,3438 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 940/753, 6208/3438?
Answer: LCM of Numerators as per given numbers 940/753, 6208/3438 is
LCM of Numerators i.e. for 940,6208 is 1458880
GCF of denominators i.e. for 753,3438 is 3.
Thus, LCM of Fractions is 1458880/3.Finally, LCM of Fractions for 940/753, 6208/3438 is 1458880/3.