Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/258, 42/862, 892/960 quickly i.e. 65562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/258, 42/862, 892/960 is 65562.
LCM(98/258, 42/862, 892/960) = 65562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/258,42/862,892/960
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 98,42,892
Least Common Multiple of Numerators i.e. LCM of 98,42,892 is 131124.
GCF of Denominators means GCF of 258,862,960 as per the given fractions.
GCF of 258,862,960 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,42,892
2 | 98, 42, 892 |
7 | 49, 21, 446 |
7, 3, 446 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 3 x 446 = 131124
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 98,42,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,42,892) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(98,42,892) x common factors =2 x 14 = 28
LCM(98,42,892) = ( 98 × 42 × 892 ) / 28
LCM(98,42,892) = 3671472 / 28
LCM(98,42,892) = 131124
Lets's calculate GCF of 258,862,960
2 | 258, 862, 960 |
129, 431, 480 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131124/2
Therefore the LCM of Fractions 98/258,42/862,892/960 is 65562
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 258,862,960 . The biggest common factor number is the GCF number.
So the greatest common factor 258,862,960 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 98/258, 42/862, 892/960?
Answer: LCM of Numerators as per given numbers 98/258, 42/862, 892/960 is
LCM of Numerators i.e. for 98,42,892 is 131124
GCF of denominators i.e. for 258,862,960 is 2.
Thus, LCM of Fractions is 65562.Finally, LCM of Fractions for 98/258, 42/862, 892/960 is 65562.