Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 376/79, 553/16, 967/391 quickly i.e. 201066376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 376/79, 553/16, 967/391 is 201066376.
LCM(376/79, 553/16, 967/391) = 201066376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 376/79,553/16,967/391
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 376,553,967
Least Common Multiple of Numerators i.e. LCM of 376,553,967 is 201066376.
GCF of Denominators means GCF of 79,16,391 as per the given fractions.
GCF of 79,16,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 376,553,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 201066376
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 376,553,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,553,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,553,967) x common factors =1 x 1 = 1
LCM(376,553,967) = ( 376 × 553 × 967 ) / 1
LCM(376,553,967) = 201066376 / 1
LCM(376,553,967) = 201066376
Lets's calculate GCF of 79,16,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201066376/1
Therefore the LCM of Fractions 376/79,553/16,967/391 is 201066376
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 79,16,391 . The biggest common factor number is the GCF number.
So the greatest common factor 79,16,391 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 376/79, 553/16, 967/391?
Answer: LCM of Numerators as per given numbers 376/79, 553/16, 967/391 is
LCM of Numerators i.e. for 376,553,967 is 201066376
GCF of denominators i.e. for 79,16,391 is 1.
Thus, LCM of Fractions is 201066376.Finally, LCM of Fractions for 376/79, 553/16, 967/391 is 201066376.