Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 982/64, 970/2992 quickly i.e. 476270/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 982/64, 970/2992 is 476270/16.
LCM(982/64, 970/2992) = 476270/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 982/64,970/2992
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 982,970
Least Common Multiple of Numerators i.e. LCM of 982,970 is 476270.
GCF of Denominators means GCF of 64,2992 as per the given fractions.
GCF of 64,2992 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 982,970
2 | 982, 970 |
491, 485 |
∴ So the LCM of the given numbers is 2 x 491 x 485 = 476270
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 982,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,970) x common factors =2 x 1 = 2
LCM(982,970) = ( 982 × 970 ) / 2
LCM(982,970) = 952540 / 2
LCM(982,970) = 476270
Lets's calculate GCF of 64,2992
2 | 64, 2992 |
2 | 32, 1496 |
2 | 16, 748 |
2 | 8, 374 |
4, 187 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476270/16
Therefore the LCM of Fractions 982/64,970/2992 is 476270/16
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 2992
List of positive integer factors of 2992 that divides 2992 without a remainder.
1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 64,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 64,2992 is 16.
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 982/64, 970/2992?
Answer: LCM of Numerators as per given numbers 982/64, 970/2992 is
LCM of Numerators i.e. for 982,970 is 476270
GCF of denominators i.e. for 64,2992 is 16.
Thus, LCM of Fractions is 476270/16.Finally, LCM of Fractions for 982/64, 970/2992 is 476270/16.