Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/711, 280/637, 919/409 quickly i.e. 13123320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/711, 280/637, 919/409 is 13123320.
LCM(51/711, 280/637, 919/409) = 13123320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/711,280/637,919/409
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 51,280,919
Least Common Multiple of Numerators i.e. LCM of 51,280,919 is 13123320.
GCF of Denominators means GCF of 711,637,409 as per the given fractions.
GCF of 711,637,409 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,280,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 13123320
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 51,280,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,280,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,280,919) x common factors =1 x 1 = 1
LCM(51,280,919) = ( 51 × 280 × 919 ) / 1
LCM(51,280,919) = 13123320 / 1
LCM(51,280,919) = 13123320
Lets's calculate GCF of 711,637,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13123320/1
Therefore the LCM of Fractions 51/711,280/637,919/409 is 13123320
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 711,637,409 . The biggest common factor number is the GCF number.
So the greatest common factor 711,637,409 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 51/711, 280/637, 919/409?
Answer: LCM of Numerators as per given numbers 51/711, 280/637, 919/409 is
LCM of Numerators i.e. for 51,280,919 is 13123320
GCF of denominators i.e. for 711,637,409 is 1.
Thus, LCM of Fractions is 13123320.Finally, LCM of Fractions for 51/711, 280/637, 919/409 is 13123320.