Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7018/392, 7139/488 quickly i.e. 414062/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7018/392, 7139/488 is 414062/8.
LCM(7018/392, 7139/488) = 414062/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7018/392,7139/488
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 7018,7139
Least Common Multiple of Numerators i.e. LCM of 7018,7139 is 414062.
GCF of Denominators means GCF of 392,488 as per the given fractions.
GCF of 392,488 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7018,7139
11 | 7018, 7139 |
11 | 638, 649 |
58, 59 |
∴ So the LCM of the given numbers is 11 x 11 x 58 x 59 = 414062
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 7018,7139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7018,7139) = 121
common factors(in case of two or more numbers have common factors) = 1
GCF(7018,7139) x common factors =121 x 1 = 121
LCM(7018,7139) = ( 7018 × 7139 ) / 121
LCM(7018,7139) = 50101502 / 121
LCM(7018,7139) = 414062
Lets's calculate GCF of 392,488
2 | 392, 488 |
2 | 196, 244 |
2 | 98, 122 |
49, 61 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414062/8
Therefore the LCM of Fractions 7018/392,7139/488 is 414062/8
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 392,488 . The biggest common factor number is the GCF number.
So the greatest common factor 392,488 is 8.
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 7018/392, 7139/488?
Answer: LCM of Numerators as per given numbers 7018/392, 7139/488 is
LCM of Numerators i.e. for 7018,7139 is 414062
GCF of denominators i.e. for 392,488 is 8.
Thus, LCM of Fractions is 414062/8.Finally, LCM of Fractions for 7018/392, 7139/488 is 414062/8.