Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/892, 980/445, 710/588 quickly i.e. 21082740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/892, 980/445, 710/588 is 21082740.
LCM(606/892, 980/445, 710/588) = 21082740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/892,980/445,710/588
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 606,980,710
Least Common Multiple of Numerators i.e. LCM of 606,980,710 is 21082740.
GCF of Denominators means GCF of 892,445,588 as per the given fractions.
GCF of 892,445,588 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,980,710
2 | 606, 980, 710 |
5 | 303, 490, 355 |
303, 98, 71 |
∴ So the LCM of the given numbers is 2 x 5 x 303 x 98 x 71 = 21082740
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 606,980,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,980,710) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(606,980,710) x common factors =2 x 10 = 20
LCM(606,980,710) = ( 606 × 980 × 710 ) / 20
LCM(606,980,710) = 421654800 / 20
LCM(606,980,710) = 21082740
Lets's calculate GCF of 892,445,588
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21082740/1
Therefore the LCM of Fractions 606/892,980/445,710/588 is 21082740
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 892,445,588 . The biggest common factor number is the GCF number.
So the greatest common factor 892,445,588 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 606/892, 980/445, 710/588?
Answer: LCM of Numerators as per given numbers 606/892, 980/445, 710/588 is
LCM of Numerators i.e. for 606,980,710 is 21082740
GCF of denominators i.e. for 892,445,588 is 1.
Thus, LCM of Fractions is 21082740.Finally, LCM of Fractions for 606/892, 980/445, 710/588 is 21082740.