Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/18, 574/78, 221/988 quickly i.e. 3361631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/18, 574/78, 221/988 is 3361631.
LCM(53/18, 574/78, 221/988) = 3361631
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/18,574/78,221/988
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 53,574,221
Least Common Multiple of Numerators i.e. LCM of 53,574,221 is 6723262.
GCF of Denominators means GCF of 18,78,988 as per the given fractions.
GCF of 18,78,988 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,574,221
Given numbers has no common factors except 1. So, there LCM is their product i.e 6723262
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 53,574,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,574,221) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,574,221) x common factors =1 x 1 = 1
LCM(53,574,221) = ( 53 × 574 × 221 ) / 1
LCM(53,574,221) = 6723262 / 1
LCM(53,574,221) = 6723262
Lets's calculate GCF of 18,78,988
2 | 18, 78, 988 |
9, 39, 494 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6723262/2
Therefore the LCM of Fractions 53/18,574/78,221/988 is 3361631
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
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
Greatest Common Factor
We found the factors 18,78,988 . The biggest common factor number is the GCF number.
So the greatest common factor 18,78,988 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 53/18, 574/78, 221/988?
Answer: LCM of Numerators as per given numbers 53/18, 574/78, 221/988 is
LCM of Numerators i.e. for 53,574,221 is 6723262
GCF of denominators i.e. for 18,78,988 is 2.
Thus, LCM of Fractions is 3361631.Finally, LCM of Fractions for 53/18, 574/78, 221/988 is 3361631.