Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/162, 925/542, 988/992 quickly i.e. 456950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/162, 925/542, 988/992 is 456950.
LCM(20/162, 925/542, 988/992) = 456950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/162,925/542,988/992
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 20,925,988
Least Common Multiple of Numerators i.e. LCM of 20,925,988 is 913900.
GCF of Denominators means GCF of 162,542,992 as per the given fractions.
GCF of 162,542,992 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,925,988
2 | 20, 925, 988 |
2 | 10, 925, 494 |
5 | 5, 925, 247 |
1, 185, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 185 x 247 = 913900
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 20,925,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,925,988) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,925,988) x common factors =1 x 20 = 20
LCM(20,925,988) = ( 20 × 925 × 988 ) / 20
LCM(20,925,988) = 18278000 / 20
LCM(20,925,988) = 913900
Lets's calculate GCF of 162,542,992
2 | 162, 542, 992 |
81, 271, 496 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 913900/2
Therefore the LCM of Fractions 20/162,925/542,988/992 is 456950
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 162,542,992 . The biggest common factor number is the GCF number.
So the greatest common factor 162,542,992 is 2.
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 20/162, 925/542, 988/992?
Answer: LCM of Numerators as per given numbers 20/162, 925/542, 988/992 is
LCM of Numerators i.e. for 20,925,988 is 913900
GCF of denominators i.e. for 162,542,992 is 2.
Thus, LCM of Fractions is 456950.Finally, LCM of Fractions for 20/162, 925/542, 988/992 is 456950.