Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/294, 248/459, 508/632 quickly i.e. 1543304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/294, 248/459, 508/632 is 1543304.
LCM(49/294, 248/459, 508/632) = 1543304
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/294,248/459,508/632
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 49,248,508
Least Common Multiple of Numerators i.e. LCM of 49,248,508 is 1543304.
GCF of Denominators means GCF of 294,459,632 as per the given fractions.
GCF of 294,459,632 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,248,508
2 | 49, 248, 508 |
2 | 49, 124, 254 |
49, 62, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 49 x 62 x 127 = 1543304
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 49,248,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,248,508) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(49,248,508) x common factors =1 x 4 = 4
LCM(49,248,508) = ( 49 × 248 × 508 ) / 4
LCM(49,248,508) = 6173216 / 4
LCM(49,248,508) = 1543304
Lets's calculate GCF of 294,459,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1543304/1
Therefore the LCM of Fractions 49/294,248/459,508/632 is 1543304
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 294,459,632 . The biggest common factor number is the GCF number.
So the greatest common factor 294,459,632 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 49/294, 248/459, 508/632?
Answer: LCM of Numerators as per given numbers 49/294, 248/459, 508/632 is
LCM of Numerators i.e. for 49,248,508 is 1543304
GCF of denominators i.e. for 294,459,632 is 1.
Thus, LCM of Fractions is 1543304.Finally, LCM of Fractions for 49/294, 248/459, 508/632 is 1543304.