Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 679/248, 4960/372 quickly i.e. 27160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 679/248, 4960/372 is 27160.
LCM(679/248, 4960/372) = 27160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 679/248,4960/372
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 679,4960
Least Common Multiple of Numerators i.e. LCM of 679,4960 is 3367840.
GCF of Denominators means GCF of 248,372 as per the given fractions.
GCF of 248,372 is 124 as it is the largest common factor for these numbers.
Lets's calculate LCM of 679,4960
Given numbers has no common factors except 1. So, there LCM is their product i.e 3367840
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 679,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,4960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,4960) x common factors =1 x 1 = 1
LCM(679,4960) = ( 679 × 4960 ) / 1
LCM(679,4960) = 3367840 / 1
LCM(679,4960) = 3367840
Lets's calculate GCF of 248,372
2 | 248, 372 |
2 | 124, 186 |
31 | 62, 93 |
2, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3367840/124
Therefore the LCM of Fractions 679/248,4960/372 is 27160
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 248,372 . The biggest common factor number is the GCF number.
So the greatest common factor 248,372 is 124.
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 679/248, 4960/372?
Answer: LCM of Numerators as per given numbers 679/248, 4960/372 is
LCM of Numerators i.e. for 679,4960 is 3367840
GCF of denominators i.e. for 248,372 is 124.
Thus, LCM of Fractions is 27160.Finally, LCM of Fractions for 679/248, 4960/372 is 27160.