Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 969/51, 552/6264 quickly i.e. 59432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 969/51, 552/6264 is 59432.
LCM(969/51, 552/6264) = 59432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 969/51,552/6264
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 969,552
Least Common Multiple of Numerators i.e. LCM of 969,552 is 178296.
GCF of Denominators means GCF of 51,6264 as per the given fractions.
GCF of 51,6264 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 969,552
3 | 969, 552 |
323, 184 |
∴ So the LCM of the given numbers is 3 x 323 x 184 = 178296
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 969,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,552) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,552) x common factors =3 x 1 = 3
LCM(969,552) = ( 969 × 552 ) / 3
LCM(969,552) = 534888 / 3
LCM(969,552) = 178296
Lets's calculate GCF of 51,6264
3 | 51, 6264 |
17, 2088 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178296/3
Therefore the LCM of Fractions 969/51,552/6264 is 59432
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 6264
List of positive integer factors of 6264 that divides 6264 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Greatest Common Factor
We found the factors 51,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 51,6264 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 969/51, 552/6264?
Answer: LCM of Numerators as per given numbers 969/51, 552/6264 is
LCM of Numerators i.e. for 969,552 is 178296
GCF of denominators i.e. for 51,6264 is 3.
Thus, LCM of Fractions is 59432.Finally, LCM of Fractions for 969/51, 552/6264 is 59432.