Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/407, 28/966, 748/263 quickly i.e. 36652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/407, 28/966, 748/263 is 36652.
LCM(49/407, 28/966, 748/263) = 36652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/407,28/966,748/263
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 49,28,748
Least Common Multiple of Numerators i.e. LCM of 49,28,748 is 36652.
GCF of Denominators means GCF of 407,966,263 as per the given fractions.
GCF of 407,966,263 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,28,748
2 | 49, 28, 748 |
2 | 49, 14, 374 |
7 | 49, 7, 187 |
1, 7, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 7 x 187 = 36652
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 49,28,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,28,748) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(49,28,748) x common factors =1 x 28 = 28
LCM(49,28,748) = ( 49 × 28 × 748 ) / 28
LCM(49,28,748) = 1026256 / 28
LCM(49,28,748) = 36652
Lets's calculate GCF of 407,966,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36652/1
Therefore the LCM of Fractions 49/407,28/966,748/263 is 36652
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 407,966,263 . The biggest common factor number is the GCF number.
So the greatest common factor 407,966,263 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 49/407, 28/966, 748/263?
Answer: LCM of Numerators as per given numbers 49/407, 28/966, 748/263 is
LCM of Numerators i.e. for 49,28,748 is 36652
GCF of denominators i.e. for 407,966,263 is 1.
Thus, LCM of Fractions is 36652.Finally, LCM of Fractions for 49/407, 28/966, 748/263 is 36652.