Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/97, 56/89, 97/84, 56/76 quickly i.e. 5432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/97, 56/89, 97/84, 56/76 is 5432.
LCM(4/97, 56/89, 97/84, 56/76) = 5432
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/97,56/89,97/84,56/76
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 4,56,97,56
Least Common Multiple of Numerators i.e. LCM of 4,56,97,56 is 5432.
GCF of Denominators means GCF of 97,89,84,76 as per the given fractions.
GCF of 97,89,84,76 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,56,97,56
2 | 4, 56, 97, 56 |
2 | 2, 28, 97, 28 |
2 | 1, 14, 97, 14 |
7 | 1, 7, 97, 7 |
1, 1, 97, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 1 x 97 x 1 = 5432
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 4,56,97,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,56,97,56) = 1
common factors(in case of two or more numbers have common factors) = 224
GCF(4,56,97,56) x common factors =1 x 224 = 224
LCM(4,56,97,56) = ( 4 × 56 × 97 × 56 ) / 224
LCM(4,56,97,56) = 1216768 / 224
LCM(4,56,97,56) = 5432
Lets's calculate GCF of 97,89,84,76
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5432/1
Therefore the LCM of Fractions 4/97,56/89,97/84,56/76 is 5432
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Greatest Common Factor
We found the factors 97,89,84,76 . The biggest common factor number is the GCF number.
So the greatest common factor 97,89,84,76 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 4/97, 56/89, 97/84, 56/76?
Answer: LCM of Numerators as per given numbers 4/97, 56/89, 97/84, 56/76 is
LCM of Numerators i.e. for 4,56,97,56 is 5432
GCF of denominators i.e. for 97,89,84,76 is 1.
Thus, LCM of Fractions is 5432.Finally, LCM of Fractions for 4/97, 56/89, 97/84, 56/76 is 5432.