Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/939, 70/253, 372/650 quickly i.e. 52080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/939, 70/253, 372/650 is 52080.
LCM(80/939, 70/253, 372/650) = 52080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/939,70/253,372/650
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 80,70,372
Least Common Multiple of Numerators i.e. LCM of 80,70,372 is 52080.
GCF of Denominators means GCF of 939,253,650 as per the given fractions.
GCF of 939,253,650 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,70,372
2 | 80, 70, 372 |
2 | 40, 35, 186 |
5 | 20, 35, 93 |
4, 7, 93 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 7 x 93 = 52080
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 80,70,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,70,372) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(80,70,372) x common factors =2 x 20 = 40
LCM(80,70,372) = ( 80 × 70 × 372 ) / 40
LCM(80,70,372) = 2083200 / 40
LCM(80,70,372) = 52080
Lets's calculate GCF of 939,253,650
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52080/1
Therefore the LCM of Fractions 80/939,70/253,372/650 is 52080
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Greatest Common Factor
We found the factors 939,253,650 . The biggest common factor number is the GCF number.
So the greatest common factor 939,253,650 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 80/939, 70/253, 372/650?
Answer: LCM of Numerators as per given numbers 80/939, 70/253, 372/650 is
LCM of Numerators i.e. for 80,70,372 is 52080
GCF of denominators i.e. for 939,253,650 is 1.
Thus, LCM of Fractions is 52080.Finally, LCM of Fractions for 80/939, 70/253, 372/650 is 52080.