Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/98, 52/254, 577/465 quickly i.e. 870116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/98, 52/254, 577/465 is 870116.
LCM(29/98, 52/254, 577/465) = 870116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/98,52/254,577/465
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 29,52,577
Least Common Multiple of Numerators i.e. LCM of 29,52,577 is 870116.
GCF of Denominators means GCF of 98,254,465 as per the given fractions.
GCF of 98,254,465 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,52,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 870116
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 29,52,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,52,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,52,577) x common factors =1 x 1 = 1
LCM(29,52,577) = ( 29 × 52 × 577 ) / 1
LCM(29,52,577) = 870116 / 1
LCM(29,52,577) = 870116
Lets's calculate GCF of 98,254,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870116/1
Therefore the LCM of Fractions 29/98,52/254,577/465 is 870116
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 98,254,465 . The biggest common factor number is the GCF number.
So the greatest common factor 98,254,465 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 29/98, 52/254, 577/465?
Answer: LCM of Numerators as per given numbers 29/98, 52/254, 577/465 is
LCM of Numerators i.e. for 29,52,577 is 870116
GCF of denominators i.e. for 98,254,465 is 1.
Thus, LCM of Fractions is 870116.Finally, LCM of Fractions for 29/98, 52/254, 577/465 is 870116.