Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6522/98, 2980/258 quickly i.e. 4858890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6522/98, 2980/258 is 4858890.
LCM(6522/98, 2980/258) = 4858890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6522/98,2980/258
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 6522,2980
Least Common Multiple of Numerators i.e. LCM of 6522,2980 is 9717780.
GCF of Denominators means GCF of 98,258 as per the given fractions.
GCF of 98,258 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6522,2980
2 | 6522, 2980 |
3261, 1490 |
∴ So the LCM of the given numbers is 2 x 3261 x 1490 = 9717780
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 6522,2980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6522,2980) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6522,2980) x common factors =2 x 1 = 2
LCM(6522,2980) = ( 6522 × 2980 ) / 2
LCM(6522,2980) = 19435560 / 2
LCM(6522,2980) = 9717780
Lets's calculate GCF of 98,258
2 | 98, 258 |
49, 129 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9717780/2
Therefore the LCM of Fractions 6522/98,2980/258 is 4858890
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 98,258 . The biggest common factor number is the GCF number.
So the greatest common factor 98,258 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 6522/98, 2980/258?
Answer: LCM of Numerators as per given numbers 6522/98, 2980/258 is
LCM of Numerators i.e. for 6522,2980 is 9717780
GCF of denominators i.e. for 98,258 is 2.
Thus, LCM of Fractions is 4858890.Finally, LCM of Fractions for 6522/98, 2980/258 is 4858890.