Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/62, 62/12, 711/210 quickly i.e. 551025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/62, 62/12, 711/210 is 551025.
LCM(50/62, 62/12, 711/210) = 551025
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/62,62/12,711/210
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 50,62,711
Least Common Multiple of Numerators i.e. LCM of 50,62,711 is 1102050.
GCF of Denominators means GCF of 62,12,210 as per the given fractions.
GCF of 62,12,210 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,62,711
2 | 50, 62, 711 |
25, 31, 711 |
∴ So the LCM of the given numbers is 2 x 25 x 31 x 711 = 1102050
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 50,62,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,62,711) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,62,711) x common factors =1 x 2 = 2
LCM(50,62,711) = ( 50 × 62 × 711 ) / 2
LCM(50,62,711) = 2204100 / 2
LCM(50,62,711) = 1102050
Lets's calculate GCF of 62,12,210
2 | 62, 12, 210 |
31, 6, 105 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1102050/2
Therefore the LCM of Fractions 50/62,62/12,711/210 is 551025
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 62,12,210 . The biggest common factor number is the GCF number.
So the greatest common factor 62,12,210 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 50/62, 62/12, 711/210?
Answer: LCM of Numerators as per given numbers 50/62, 62/12, 711/210 is
LCM of Numerators i.e. for 50,62,711 is 1102050
GCF of denominators i.e. for 62,12,210 is 2.
Thus, LCM of Fractions is 551025.Finally, LCM of Fractions for 50/62, 62/12, 711/210 is 551025.