Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/310, 882/810, 911/172 quickly i.e. 125748063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/310, 882/810, 911/172 is 125748063.
LCM(626/310, 882/810, 911/172) = 125748063
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/310,882/810,911/172
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 626,882,911
Least Common Multiple of Numerators i.e. LCM of 626,882,911 is 251496126.
GCF of Denominators means GCF of 310,810,172 as per the given fractions.
GCF of 310,810,172 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,882,911
2 | 626, 882, 911 |
313, 441, 911 |
∴ So the LCM of the given numbers is 2 x 313 x 441 x 911 = 251496126
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 626,882,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,882,911) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(626,882,911) x common factors =1 x 2 = 2
LCM(626,882,911) = ( 626 × 882 × 911 ) / 2
LCM(626,882,911) = 502992252 / 2
LCM(626,882,911) = 251496126
Lets's calculate GCF of 310,810,172
2 | 310, 810, 172 |
155, 405, 86 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251496126/2
Therefore the LCM of Fractions 626/310,882/810,911/172 is 125748063
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 310,810,172 . The biggest common factor number is the GCF number.
So the greatest common factor 310,810,172 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 626/310, 882/810, 911/172?
Answer: LCM of Numerators as per given numbers 626/310, 882/810, 911/172 is
LCM of Numerators i.e. for 626,882,911 is 251496126
GCF of denominators i.e. for 310,810,172 is 2.
Thus, LCM of Fractions is 125748063.Finally, LCM of Fractions for 626/310, 882/810, 911/172 is 125748063.