Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/210, 625/460, 170/177 quickly i.e. 1508750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/210, 625/460, 170/177 is 1508750.
LCM(71/210, 625/460, 170/177) = 1508750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/210,625/460,170/177
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 71,625,170
Least Common Multiple of Numerators i.e. LCM of 71,625,170 is 1508750.
GCF of Denominators means GCF of 210,460,177 as per the given fractions.
GCF of 210,460,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,625,170
5 | 71, 625, 170 |
71, 125, 34 |
∴ So the LCM of the given numbers is 5 x 71 x 125 x 34 = 1508750
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 71,625,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,625,170) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(71,625,170) x common factors =1 x 5 = 5
LCM(71,625,170) = ( 71 × 625 × 170 ) / 5
LCM(71,625,170) = 7543750 / 5
LCM(71,625,170) = 1508750
Lets's calculate GCF of 210,460,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1508750/1
Therefore the LCM of Fractions 71/210,625/460,170/177 is 1508750
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 210,460,177 . The biggest common factor number is the GCF number.
So the greatest common factor 210,460,177 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 71/210, 625/460, 170/177?
Answer: LCM of Numerators as per given numbers 71/210, 625/460, 170/177 is
LCM of Numerators i.e. for 71,625,170 is 1508750
GCF of denominators i.e. for 210,460,177 is 1.
Thus, LCM of Fractions is 1508750.Finally, LCM of Fractions for 71/210, 625/460, 170/177 is 1508750.