Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/708, 92/426, 998/273 quickly i.e. 2249492/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/708, 92/426, 998/273 is 2249492/3.
LCM(98/708, 92/426, 998/273) = 2249492/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/708,92/426,998/273
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 98,92,998
Least Common Multiple of Numerators i.e. LCM of 98,92,998 is 2249492.
GCF of Denominators means GCF of 708,426,273 as per the given fractions.
GCF of 708,426,273 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,92,998
2 | 98, 92, 998 |
49, 46, 499 |
∴ So the LCM of the given numbers is 2 x 49 x 46 x 499 = 2249492
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 98,92,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,92,998) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,92,998) x common factors =2 x 2 = 4
LCM(98,92,998) = ( 98 × 92 × 998 ) / 4
LCM(98,92,998) = 8997968 / 4
LCM(98,92,998) = 2249492
Lets's calculate GCF of 708,426,273
3 | 708, 426, 273 |
236, 142, 91 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2249492/3
Therefore the LCM of Fractions 98/708,92/426,998/273 is 2249492/3
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 708,426,273 . The biggest common factor number is the GCF number.
So the greatest common factor 708,426,273 is 3.
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 98/708, 92/426, 998/273?
Answer: LCM of Numerators as per given numbers 98/708, 92/426, 998/273 is
LCM of Numerators i.e. for 98,92,998 is 2249492
GCF of denominators i.e. for 708,426,273 is 3.
Thus, LCM of Fractions is 2249492/3.Finally, LCM of Fractions for 98/708, 92/426, 998/273 is 2249492/3.