Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 625/39, 489/94, 264/136 quickly i.e. 26895000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 625/39, 489/94, 264/136 is 26895000.
LCM(625/39, 489/94, 264/136) = 26895000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 625/39,489/94,264/136
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 625,489,264
Least Common Multiple of Numerators i.e. LCM of 625,489,264 is 26895000.
GCF of Denominators means GCF of 39,94,136 as per the given fractions.
GCF of 39,94,136 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 625,489,264
3 | 625, 489, 264 |
625, 163, 88 |
∴ So the LCM of the given numbers is 3 x 625 x 163 x 88 = 26895000
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 625,489,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,489,264) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(625,489,264) x common factors =1 x 3 = 3
LCM(625,489,264) = ( 625 × 489 × 264 ) / 3
LCM(625,489,264) = 80685000 / 3
LCM(625,489,264) = 26895000
Lets's calculate GCF of 39,94,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26895000/1
Therefore the LCM of Fractions 625/39,489/94,264/136 is 26895000
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 39,94,136 . The biggest common factor number is the GCF number.
So the greatest common factor 39,94,136 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 625/39, 489/94, 264/136?
Answer: LCM of Numerators as per given numbers 625/39, 489/94, 264/136 is
LCM of Numerators i.e. for 625,489,264 is 26895000
GCF of denominators i.e. for 39,94,136 is 1.
Thus, LCM of Fractions is 26895000.Finally, LCM of Fractions for 625/39, 489/94, 264/136 is 26895000.