Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/151, 96/677, 988/542 quickly i.e. 118560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/151, 96/677, 988/542 is 118560.
LCM(40/151, 96/677, 988/542) = 118560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/151,96/677,988/542
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 40,96,988
Least Common Multiple of Numerators i.e. LCM of 40,96,988 is 118560.
GCF of Denominators means GCF of 151,677,542 as per the given fractions.
GCF of 151,677,542 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,96,988
2 | 40, 96, 988 |
2 | 20, 48, 494 |
2 | 10, 24, 247 |
5, 12, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 247 = 118560
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 40,96,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,96,988) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(40,96,988) x common factors =4 x 8 = 32
LCM(40,96,988) = ( 40 × 96 × 988 ) / 32
LCM(40,96,988) = 3793920 / 32
LCM(40,96,988) = 118560
Lets's calculate GCF of 151,677,542
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118560/1
Therefore the LCM of Fractions 40/151,96/677,988/542 is 118560
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Greatest Common Factor
We found the factors 151,677,542 . The biggest common factor number is the GCF number.
So the greatest common factor 151,677,542 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 40/151, 96/677, 988/542?
Answer: LCM of Numerators as per given numbers 40/151, 96/677, 988/542 is
LCM of Numerators i.e. for 40,96,988 is 118560
GCF of denominators i.e. for 151,677,542 is 1.
Thus, LCM of Fractions is 118560.Finally, LCM of Fractions for 40/151, 96/677, 988/542 is 118560.