Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/54, 573/30, 971/148 quickly i.e. 544698957/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/54, 573/30, 971/148 is 544698957/2.
LCM(979/54, 573/30, 971/148) = 544698957/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/54,573/30,971/148
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 979,573,971
Least Common Multiple of Numerators i.e. LCM of 979,573,971 is 544698957.
GCF of Denominators means GCF of 54,30,148 as per the given fractions.
GCF of 54,30,148 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,573,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 544698957
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 979,573,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,573,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,573,971) x common factors =1 x 1 = 1
LCM(979,573,971) = ( 979 × 573 × 971 ) / 1
LCM(979,573,971) = 544698957 / 1
LCM(979,573,971) = 544698957
Lets's calculate GCF of 54,30,148
2 | 54, 30, 148 |
27, 15, 74 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544698957/2
Therefore the LCM of Fractions 979/54,573/30,971/148 is 544698957/2
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 54,30,148 . The biggest common factor number is the GCF number.
So the greatest common factor 54,30,148 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 979/54, 573/30, 971/148?
Answer: LCM of Numerators as per given numbers 979/54, 573/30, 971/148 is
LCM of Numerators i.e. for 979,573,971 is 544698957
GCF of denominators i.e. for 54,30,148 is 2.
Thus, LCM of Fractions is 544698957/2.Finally, LCM of Fractions for 979/54, 573/30, 971/148 is 544698957/2.