Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/878, 19/534, 440/999 quickly i.e. 509960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/878, 19/534, 440/999 is 509960.
LCM(61/878, 19/534, 440/999) = 509960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/878,19/534,440/999
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 61,19,440
Least Common Multiple of Numerators i.e. LCM of 61,19,440 is 509960.
GCF of Denominators means GCF of 878,534,999 as per the given fractions.
GCF of 878,534,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,19,440
Given numbers has no common factors except 1. So, there LCM is their product i.e 509960
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 61,19,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,19,440) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,19,440) x common factors =1 x 1 = 1
LCM(61,19,440) = ( 61 × 19 × 440 ) / 1
LCM(61,19,440) = 509960 / 1
LCM(61,19,440) = 509960
Lets's calculate GCF of 878,534,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 509960/1
Therefore the LCM of Fractions 61/878,19/534,440/999 is 509960
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 878,534,999 . The biggest common factor number is the GCF number.
So the greatest common factor 878,534,999 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 61/878, 19/534, 440/999?
Answer: LCM of Numerators as per given numbers 61/878, 19/534, 440/999 is
LCM of Numerators i.e. for 61,19,440 is 509960
GCF of denominators i.e. for 878,534,999 is 1.
Thus, LCM of Fractions is 509960.Finally, LCM of Fractions for 61/878, 19/534, 440/999 is 509960.