Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 833/225, 763/805, 778/143 quickly i.e. 70640066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 833/225, 763/805, 778/143 is 70640066.
LCM(833/225, 763/805, 778/143) = 70640066
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 833/225,763/805,778/143
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 833,763,778
Least Common Multiple of Numerators i.e. LCM of 833,763,778 is 70640066.
GCF of Denominators means GCF of 225,805,143 as per the given fractions.
GCF of 225,805,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 833,763,778
7 | 833, 763, 778 |
119, 109, 778 |
∴ So the LCM of the given numbers is 7 x 119 x 109 x 778 = 70640066
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 833,763,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,763,778) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(833,763,778) x common factors =1 x 7 = 7
LCM(833,763,778) = ( 833 × 763 × 778 ) / 7
LCM(833,763,778) = 494480462 / 7
LCM(833,763,778) = 70640066
Lets's calculate GCF of 225,805,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70640066/1
Therefore the LCM of Fractions 833/225,763/805,778/143 is 70640066
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 225,805,143 . The biggest common factor number is the GCF number.
So the greatest common factor 225,805,143 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 833/225, 763/805, 778/143?
Answer: LCM of Numerators as per given numbers 833/225, 763/805, 778/143 is
LCM of Numerators i.e. for 833,763,778 is 70640066
GCF of denominators i.e. for 225,805,143 is 1.
Thus, LCM of Fractions is 70640066.Finally, LCM of Fractions for 833/225, 763/805, 778/143 is 70640066.