Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/70, 829/98, 672/339 quickly i.e. 16155552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/70, 829/98, 672/339 is 16155552.
LCM(29/70, 829/98, 672/339) = 16155552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/70,829/98,672/339
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 29,829,672
Least Common Multiple of Numerators i.e. LCM of 29,829,672 is 16155552.
GCF of Denominators means GCF of 70,98,339 as per the given fractions.
GCF of 70,98,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,829,672
Given numbers has no common factors except 1. So, there LCM is their product i.e 16155552
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 29,829,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,829,672) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,829,672) x common factors =1 x 1 = 1
LCM(29,829,672) = ( 29 × 829 × 672 ) / 1
LCM(29,829,672) = 16155552 / 1
LCM(29,829,672) = 16155552
Lets's calculate GCF of 70,98,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16155552/1
Therefore the LCM of Fractions 29/70,829/98,672/339 is 16155552
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 70,98,339 . The biggest common factor number is the GCF number.
So the greatest common factor 70,98,339 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 29/70, 829/98, 672/339?
Answer: LCM of Numerators as per given numbers 29/70, 829/98, 672/339 is
LCM of Numerators i.e. for 29,829,672 is 16155552
GCF of denominators i.e. for 70,98,339 is 1.
Thus, LCM of Fractions is 16155552.Finally, LCM of Fractions for 29/70, 829/98, 672/339 is 16155552.