Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/719, 88/669, 859/752 quickly i.e. 1889800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/719, 88/669, 859/752 is 1889800.
LCM(50/719, 88/669, 859/752) = 1889800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/719,88/669,859/752
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 50,88,859
Least Common Multiple of Numerators i.e. LCM of 50,88,859 is 1889800.
GCF of Denominators means GCF of 719,669,752 as per the given fractions.
GCF of 719,669,752 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,88,859
2 | 50, 88, 859 |
25, 44, 859 |
∴ So the LCM of the given numbers is 2 x 25 x 44 x 859 = 1889800
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 50,88,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,88,859) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,88,859) x common factors =1 x 2 = 2
LCM(50,88,859) = ( 50 × 88 × 859 ) / 2
LCM(50,88,859) = 3779600 / 2
LCM(50,88,859) = 1889800
Lets's calculate GCF of 719,669,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1889800/1
Therefore the LCM of Fractions 50/719,88/669,859/752 is 1889800
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 719,669,752 . The biggest common factor number is the GCF number.
So the greatest common factor 719,669,752 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 50/719, 88/669, 859/752?
Answer: LCM of Numerators as per given numbers 50/719, 88/669, 859/752 is
LCM of Numerators i.e. for 50,88,859 is 1889800
GCF of denominators i.e. for 719,669,752 is 1.
Thus, LCM of Fractions is 1889800.Finally, LCM of Fractions for 50/719, 88/669, 859/752 is 1889800.