Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 575/350, 870/782 quickly i.e. 50025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 575/350, 870/782 is 50025.
LCM(575/350, 870/782) = 50025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 575/350,870/782
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 575,870
Least Common Multiple of Numerators i.e. LCM of 575,870 is 100050.
GCF of Denominators means GCF of 350,782 as per the given fractions.
GCF of 350,782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 575,870
5 | 575, 870 |
115, 174 |
∴ So the LCM of the given numbers is 5 x 115 x 174 = 100050
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 575,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,870) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(575,870) x common factors =5 x 1 = 5
LCM(575,870) = ( 575 × 870 ) / 5
LCM(575,870) = 500250 / 5
LCM(575,870) = 100050
Lets's calculate GCF of 350,782
2 | 350, 782 |
175, 391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100050/2
Therefore the LCM of Fractions 575/350,870/782 is 50025
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 350,782 . The biggest common factor number is the GCF number.
So the greatest common factor 350,782 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 575/350, 870/782?
Answer: LCM of Numerators as per given numbers 575/350, 870/782 is
LCM of Numerators i.e. for 575,870 is 100050
GCF of denominators i.e. for 350,782 is 2.
Thus, LCM of Fractions is 50025.Finally, LCM of Fractions for 575/350, 870/782 is 50025.