Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/94, 56/25, 83/50, 70/822 quickly i.e. 69720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/94, 56/25, 83/50, 70/822 is 69720.
LCM(30/94, 56/25, 83/50, 70/822) = 69720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/94,56/25,83/50,70/822
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 30,56,83,70
Least Common Multiple of Numerators i.e. LCM of 30,56,83,70 is 69720.
GCF of Denominators means GCF of 94,25,50,822 as per the given fractions.
GCF of 94,25,50,822 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,56,83,70
2 | 30, 56, 83, 70 |
5 | 15, 28, 83, 35 |
7 | 3, 28, 83, 7 |
3, 4, 83, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 4 x 83 x 1 = 69720
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 30,56,83,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,56,83,70) = 1
common factors(in case of two or more numbers have common factors) = 140
GCF(30,56,83,70) x common factors =1 x 140 = 140
LCM(30,56,83,70) = ( 30 × 56 × 83 × 70 ) / 140
LCM(30,56,83,70) = 9760800 / 140
LCM(30,56,83,70) = 69720
Lets's calculate GCF of 94,25,50,822
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69720/1
Therefore the LCM of Fractions 30/94,56/25,83/50,70/822 is 69720
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 94,25,50,822 . The biggest common factor number is the GCF number.
So the greatest common factor 94,25,50,822 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 30/94, 56/25, 83/50, 70/822?
Answer: LCM of Numerators as per given numbers 30/94, 56/25, 83/50, 70/822 is
LCM of Numerators i.e. for 30,56,83,70 is 69720
GCF of denominators i.e. for 94,25,50,822 is 1.
Thus, LCM of Fractions is 69720.Finally, LCM of Fractions for 30/94, 56/25, 83/50, 70/822 is 69720.