Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/52, 282/47, 748/988 quickly i.e. 105468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/52, 282/47, 748/988 is 105468.
LCM(51/52, 282/47, 748/988) = 105468
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/52,282/47,748/988
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 51,282,748
Least Common Multiple of Numerators i.e. LCM of 51,282,748 is 105468.
GCF of Denominators means GCF of 52,47,988 as per the given fractions.
GCF of 52,47,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,282,748
2 | 51, 282, 748 |
3 | 51, 141, 374 |
17 | 17, 47, 374 |
1, 47, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 47 x 22 = 105468
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 51,282,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,282,748) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(51,282,748) x common factors =1 x 102 = 102
LCM(51,282,748) = ( 51 × 282 × 748 ) / 102
LCM(51,282,748) = 10757736 / 102
LCM(51,282,748) = 105468
Lets's calculate GCF of 52,47,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105468/1
Therefore the LCM of Fractions 51/52,282/47,748/988 is 105468
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 52,47,988 . The biggest common factor number is the GCF number.
So the greatest common factor 52,47,988 is 1.
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 51/52, 282/47, 748/988?
Answer: LCM of Numerators as per given numbers 51/52, 282/47, 748/988 is
LCM of Numerators i.e. for 51,282,748 is 105468
GCF of denominators i.e. for 52,47,988 is 1.
Thus, LCM of Fractions is 105468.Finally, LCM of Fractions for 51/52, 282/47, 748/988 is 105468.