Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/984, 73/854, 522/742 quickly i.e. 933597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/984, 73/854, 522/742 is 933597.
LCM(98/984, 73/854, 522/742) = 933597
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/984,73/854,522/742
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 98,73,522
Least Common Multiple of Numerators i.e. LCM of 98,73,522 is 1867194.
GCF of Denominators means GCF of 984,854,742 as per the given fractions.
GCF of 984,854,742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,73,522
2 | 98, 73, 522 |
49, 73, 261 |
∴ So the LCM of the given numbers is 2 x 49 x 73 x 261 = 1867194
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 98,73,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,73,522) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,73,522) x common factors =1 x 2 = 2
LCM(98,73,522) = ( 98 × 73 × 522 ) / 2
LCM(98,73,522) = 3734388 / 2
LCM(98,73,522) = 1867194
Lets's calculate GCF of 984,854,742
2 | 984, 854, 742 |
492, 427, 371 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1867194/2
Therefore the LCM of Fractions 98/984,73/854,522/742 is 933597
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 984,854,742 . The biggest common factor number is the GCF number.
So the greatest common factor 984,854,742 is 2.
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 98/984, 73/854, 522/742?
Answer: LCM of Numerators as per given numbers 98/984, 73/854, 522/742 is
LCM of Numerators i.e. for 98,73,522 is 1867194
GCF of denominators i.e. for 984,854,742 is 2.
Thus, LCM of Fractions is 933597.Finally, LCM of Fractions for 98/984, 73/854, 522/742 is 933597.