Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/989, 370/533, 901/140 quickly i.e. 16335130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/989, 370/533, 901/140 is 16335130.
LCM(98/989, 370/533, 901/140) = 16335130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/989,370/533,901/140
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 98,370,901
Least Common Multiple of Numerators i.e. LCM of 98,370,901 is 16335130.
GCF of Denominators means GCF of 989,533,140 as per the given fractions.
GCF of 989,533,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,370,901
2 | 98, 370, 901 |
49, 185, 901 |
∴ So the LCM of the given numbers is 2 x 49 x 185 x 901 = 16335130
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 98,370,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,370,901) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,370,901) x common factors =1 x 2 = 2
LCM(98,370,901) = ( 98 × 370 × 901 ) / 2
LCM(98,370,901) = 32670260 / 2
LCM(98,370,901) = 16335130
Lets's calculate GCF of 989,533,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16335130/1
Therefore the LCM of Fractions 98/989,370/533,901/140 is 16335130
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 989,533,140 . The biggest common factor number is the GCF number.
So the greatest common factor 989,533,140 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 98/989, 370/533, 901/140?
Answer: LCM of Numerators as per given numbers 98/989, 370/533, 901/140 is
LCM of Numerators i.e. for 98,370,901 is 16335130
GCF of denominators i.e. for 989,533,140 is 1.
Thus, LCM of Fractions is 16335130.Finally, LCM of Fractions for 98/989, 370/533, 901/140 is 16335130.