Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/63, 442/84, 922/696 quickly i.e. 49921690/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/63, 442/84, 922/696 is 49921690/3.
LCM(490/63, 442/84, 922/696) = 49921690/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/63,442/84,922/696
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 490,442,922
Least Common Multiple of Numerators i.e. LCM of 490,442,922 is 49921690.
GCF of Denominators means GCF of 63,84,696 as per the given fractions.
GCF of 63,84,696 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,442,922
2 | 490, 442, 922 |
245, 221, 461 |
∴ So the LCM of the given numbers is 2 x 245 x 221 x 461 = 49921690
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 490,442,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,442,922) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(490,442,922) x common factors =2 x 2 = 4
LCM(490,442,922) = ( 490 × 442 × 922 ) / 4
LCM(490,442,922) = 199686760 / 4
LCM(490,442,922) = 49921690
Lets's calculate GCF of 63,84,696
3 | 63, 84, 696 |
21, 28, 232 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49921690/3
Therefore the LCM of Fractions 490/63,442/84,922/696 is 49921690/3
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 63,84,696 . The biggest common factor number is the GCF number.
So the greatest common factor 63,84,696 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 490/63, 442/84, 922/696?
Answer: LCM of Numerators as per given numbers 490/63, 442/84, 922/696 is
LCM of Numerators i.e. for 490,442,922 is 49921690
GCF of denominators i.e. for 63,84,696 is 3.
Thus, LCM of Fractions is 49921690/3.Finally, LCM of Fractions for 490/63, 442/84, 922/696 is 49921690/3.