Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 785/431, 266/607, 126/555 quickly i.e. 1879290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 785/431, 266/607, 126/555 is 1879290.
LCM(785/431, 266/607, 126/555) = 1879290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 785/431,266/607,126/555
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 785,266,126
Least Common Multiple of Numerators i.e. LCM of 785,266,126 is 1879290.
GCF of Denominators means GCF of 431,607,555 as per the given fractions.
GCF of 431,607,555 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 785,266,126
2 | 785, 266, 126 |
7 | 785, 133, 63 |
785, 19, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 785 x 19 x 9 = 1879290
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 785,266,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,266,126) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(785,266,126) x common factors =1 x 14 = 14
LCM(785,266,126) = ( 785 × 266 × 126 ) / 14
LCM(785,266,126) = 26310060 / 14
LCM(785,266,126) = 1879290
Lets's calculate GCF of 431,607,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1879290/1
Therefore the LCM of Fractions 785/431,266/607,126/555 is 1879290
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 431,607,555 . The biggest common factor number is the GCF number.
So the greatest common factor 431,607,555 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 785/431, 266/607, 126/555?
Answer: LCM of Numerators as per given numbers 785/431, 266/607, 126/555 is
LCM of Numerators i.e. for 785,266,126 is 1879290
GCF of denominators i.e. for 431,607,555 is 1.
Thus, LCM of Fractions is 1879290.Finally, LCM of Fractions for 785/431, 266/607, 126/555 is 1879290.