Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/788, 243/170, 785/610 quickly i.e. 2670570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/788, 243/170, 785/610 is 2670570.
LCM(84/788, 243/170, 785/610) = 2670570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/788,243/170,785/610
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 84,243,785
Least Common Multiple of Numerators i.e. LCM of 84,243,785 is 5341140.
GCF of Denominators means GCF of 788,170,610 as per the given fractions.
GCF of 788,170,610 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,243,785
3 | 84, 243, 785 |
28, 81, 785 |
∴ So the LCM of the given numbers is 3 x 28 x 81 x 785 = 5341140
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 84,243,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,243,785) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(84,243,785) x common factors =1 x 3 = 3
LCM(84,243,785) = ( 84 × 243 × 785 ) / 3
LCM(84,243,785) = 16023420 / 3
LCM(84,243,785) = 5341140
Lets's calculate GCF of 788,170,610
2 | 788, 170, 610 |
394, 85, 305 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5341140/2
Therefore the LCM of Fractions 84/788,243/170,785/610 is 2670570
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 788,170,610 . The biggest common factor number is the GCF number.
So the greatest common factor 788,170,610 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 84/788, 243/170, 785/610?
Answer: LCM of Numerators as per given numbers 84/788, 243/170, 785/610 is
LCM of Numerators i.e. for 84,243,785 is 5341140
GCF of denominators i.e. for 788,170,610 is 2.
Thus, LCM of Fractions is 2670570.Finally, LCM of Fractions for 84/788, 243/170, 785/610 is 2670570.