Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/662, 903/255, 546/812 quickly i.e. 1103466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/662, 903/255, 546/812 is 1103466.
LCM(94/662, 903/255, 546/812) = 1103466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/662,903/255,546/812
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 94,903,546
Least Common Multiple of Numerators i.e. LCM of 94,903,546 is 1103466.
GCF of Denominators means GCF of 662,255,812 as per the given fractions.
GCF of 662,255,812 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,903,546
2 | 94, 903, 546 |
3 | 47, 903, 273 |
7 | 47, 301, 91 |
47, 43, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 43 x 13 = 1103466
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 94,903,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,903,546) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(94,903,546) x common factors =1 x 42 = 42
LCM(94,903,546) = ( 94 × 903 × 546 ) / 42
LCM(94,903,546) = 46345572 / 42
LCM(94,903,546) = 1103466
Lets's calculate GCF of 662,255,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1103466/1
Therefore the LCM of Fractions 94/662,903/255,546/812 is 1103466
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 662,255,812 . The biggest common factor number is the GCF number.
So the greatest common factor 662,255,812 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 94/662, 903/255, 546/812?
Answer: LCM of Numerators as per given numbers 94/662, 903/255, 546/812 is
LCM of Numerators i.e. for 94,903,546 is 1103466
GCF of denominators i.e. for 662,255,812 is 1.
Thus, LCM of Fractions is 1103466.Finally, LCM of Fractions for 94/662, 903/255, 546/812 is 1103466.