Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/434, 94/891, 479/290 quickly i.e. 2206274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/434, 94/891, 479/290 is 2206274.
LCM(98/434, 94/891, 479/290) = 2206274
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/434,94/891,479/290
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 98,94,479
Least Common Multiple of Numerators i.e. LCM of 98,94,479 is 2206274.
GCF of Denominators means GCF of 434,891,290 as per the given fractions.
GCF of 434,891,290 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,94,479
2 | 98, 94, 479 |
49, 47, 479 |
∴ So the LCM of the given numbers is 2 x 49 x 47 x 479 = 2206274
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 98,94,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,94,479) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,94,479) x common factors =1 x 2 = 2
LCM(98,94,479) = ( 98 × 94 × 479 ) / 2
LCM(98,94,479) = 4412548 / 2
LCM(98,94,479) = 2206274
Lets's calculate GCF of 434,891,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2206274/1
Therefore the LCM of Fractions 98/434,94/891,479/290 is 2206274
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 434,891,290 . The biggest common factor number is the GCF number.
So the greatest common factor 434,891,290 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 98/434, 94/891, 479/290?
Answer: LCM of Numerators as per given numbers 98/434, 94/891, 479/290 is
LCM of Numerators i.e. for 98,94,479 is 2206274
GCF of denominators i.e. for 434,891,290 is 1.
Thus, LCM of Fractions is 2206274.Finally, LCM of Fractions for 98/434, 94/891, 479/290 is 2206274.