Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/988, 68/154, 100/558 quickly i.e. 79050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/988, 68/154, 100/558 is 79050.
LCM(93/988, 68/154, 100/558) = 79050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/988,68/154,100/558
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 93,68,100
Least Common Multiple of Numerators i.e. LCM of 93,68,100 is 158100.
GCF of Denominators means GCF of 988,154,558 as per the given fractions.
GCF of 988,154,558 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,68,100
2 | 93, 68, 100 |
2 | 93, 34, 50 |
93, 17, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 93 x 17 x 25 = 158100
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 93,68,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,68,100) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(93,68,100) x common factors =1 x 4 = 4
LCM(93,68,100) = ( 93 × 68 × 100 ) / 4
LCM(93,68,100) = 632400 / 4
LCM(93,68,100) = 158100
Lets's calculate GCF of 988,154,558
2 | 988, 154, 558 |
494, 77, 279 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158100/2
Therefore the LCM of Fractions 93/988,68/154,100/558 is 79050
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Greatest Common Factor
We found the factors 988,154,558 . The biggest common factor number is the GCF number.
So the greatest common factor 988,154,558 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 93/988, 68/154, 100/558?
Answer: LCM of Numerators as per given numbers 93/988, 68/154, 100/558 is
LCM of Numerators i.e. for 93,68,100 is 158100
GCF of denominators i.e. for 988,154,558 is 2.
Thus, LCM of Fractions is 79050.Finally, LCM of Fractions for 93/988, 68/154, 100/558 is 79050.