Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/97, 930/50, 988/372 quickly i.e. 209954940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/97, 930/50, 988/372 is 209954940.
LCM(457/97, 930/50, 988/372) = 209954940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/97,930/50,988/372
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 457,930,988
Least Common Multiple of Numerators i.e. LCM of 457,930,988 is 209954940.
GCF of Denominators means GCF of 97,50,372 as per the given fractions.
GCF of 97,50,372 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,930,988
2 | 457, 930, 988 |
457, 465, 494 |
∴ So the LCM of the given numbers is 2 x 457 x 465 x 494 = 209954940
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 457,930,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,930,988) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(457,930,988) x common factors =1 x 2 = 2
LCM(457,930,988) = ( 457 × 930 × 988 ) / 2
LCM(457,930,988) = 419909880 / 2
LCM(457,930,988) = 209954940
Lets's calculate GCF of 97,50,372
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209954940/1
Therefore the LCM of Fractions 457/97,930/50,988/372 is 209954940
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 97,50,372 . The biggest common factor number is the GCF number.
So the greatest common factor 97,50,372 is 1.
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 457/97, 930/50, 988/372?
Answer: LCM of Numerators as per given numbers 457/97, 930/50, 988/372 is
LCM of Numerators i.e. for 457,930,988 is 209954940
GCF of denominators i.e. for 97,50,372 is 1.
Thus, LCM of Fractions is 209954940.Finally, LCM of Fractions for 457/97, 930/50, 988/372 is 209954940.