Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 619/86, 944/50, 302/778 quickly i.e. 44117368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 619/86, 944/50, 302/778 is 44117368.
LCM(619/86, 944/50, 302/778) = 44117368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 619/86,944/50,302/778
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 619,944,302
Least Common Multiple of Numerators i.e. LCM of 619,944,302 is 88234736.
GCF of Denominators means GCF of 86,50,778 as per the given fractions.
GCF of 86,50,778 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 619,944,302
2 | 619, 944, 302 |
619, 472, 151 |
∴ So the LCM of the given numbers is 2 x 619 x 472 x 151 = 88234736
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 619,944,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,944,302) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(619,944,302) x common factors =1 x 2 = 2
LCM(619,944,302) = ( 619 × 944 × 302 ) / 2
LCM(619,944,302) = 176469472 / 2
LCM(619,944,302) = 88234736
Lets's calculate GCF of 86,50,778
2 | 86, 50, 778 |
43, 25, 389 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88234736/2
Therefore the LCM of Fractions 619/86,944/50,302/778 is 44117368
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Greatest Common Factor
We found the factors 86,50,778 . The biggest common factor number is the GCF number.
So the greatest common factor 86,50,778 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 619/86, 944/50, 302/778?
Answer: LCM of Numerators as per given numbers 619/86, 944/50, 302/778 is
LCM of Numerators i.e. for 619,944,302 is 88234736
GCF of denominators i.e. for 86,50,778 is 2.
Thus, LCM of Fractions is 44117368.Finally, LCM of Fractions for 619/86, 944/50, 302/778 is 44117368.