Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/95, 62/25, 687/545 quickly i.e. 127782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/95, 62/25, 687/545 is 127782.
LCM(90/95, 62/25, 687/545) = 127782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/95,62/25,687/545
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 90,62,687
Least Common Multiple of Numerators i.e. LCM of 90,62,687 is 638910.
GCF of Denominators means GCF of 95,25,545 as per the given fractions.
GCF of 95,25,545 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,62,687
2 | 90, 62, 687 |
3 | 45, 31, 687 |
15, 31, 229 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 31 x 229 = 638910
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 90,62,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,62,687) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,62,687) x common factors =1 x 6 = 6
LCM(90,62,687) = ( 90 × 62 × 687 ) / 6
LCM(90,62,687) = 3833460 / 6
LCM(90,62,687) = 638910
Lets's calculate GCF of 95,25,545
5 | 95, 25, 545 |
19, 5, 109 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 638910/5
Therefore the LCM of Fractions 90/95,62/25,687/545 is 127782
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 95,25,545 . The biggest common factor number is the GCF number.
So the greatest common factor 95,25,545 is 5.
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 90/95, 62/25, 687/545?
Answer: LCM of Numerators as per given numbers 90/95, 62/25, 687/545 is
LCM of Numerators i.e. for 90,62,687 is 638910
GCF of denominators i.e. for 95,25,545 is 5.
Thus, LCM of Fractions is 127782.Finally, LCM of Fractions for 90/95, 62/25, 687/545 is 127782.