Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 677/423, 692/351, 810/600 quickly i.e. 63245340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 677/423, 692/351, 810/600 is 63245340.
LCM(677/423, 692/351, 810/600) = 63245340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 677/423,692/351,810/600
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 677,692,810
Least Common Multiple of Numerators i.e. LCM of 677,692,810 is 189736020.
GCF of Denominators means GCF of 423,351,600 as per the given fractions.
GCF of 423,351,600 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 677,692,810
2 | 677, 692, 810 |
677, 346, 405 |
∴ So the LCM of the given numbers is 2 x 677 x 346 x 405 = 189736020
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 677,692,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,692,810) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(677,692,810) x common factors =1 x 2 = 2
LCM(677,692,810) = ( 677 × 692 × 810 ) / 2
LCM(677,692,810) = 379472040 / 2
LCM(677,692,810) = 189736020
Lets's calculate GCF of 423,351,600
3 | 423, 351, 600 |
141, 117, 200 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189736020/3
Therefore the LCM of Fractions 677/423,692/351,810/600 is 63245340
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 423,351,600 . The biggest common factor number is the GCF number.
So the greatest common factor 423,351,600 is 3.
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 677/423, 692/351, 810/600?
Answer: LCM of Numerators as per given numbers 677/423, 692/351, 810/600 is
LCM of Numerators i.e. for 677,692,810 is 189736020
GCF of denominators i.e. for 423,351,600 is 3.
Thus, LCM of Fractions is 63245340.Finally, LCM of Fractions for 677/423, 692/351, 810/600 is 63245340.