Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/97, 640/30, 747/455 quickly i.e. 9083520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/97, 640/30, 747/455 is 9083520.
LCM(76/97, 640/30, 747/455) = 9083520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/97,640/30,747/455
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 76,640,747
Least Common Multiple of Numerators i.e. LCM of 76,640,747 is 9083520.
GCF of Denominators means GCF of 97,30,455 as per the given fractions.
GCF of 97,30,455 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,640,747
2 | 76, 640, 747 |
2 | 38, 320, 747 |
19, 160, 747 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 160 x 747 = 9083520
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 76,640,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,640,747) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,640,747) x common factors =1 x 4 = 4
LCM(76,640,747) = ( 76 × 640 × 747 ) / 4
LCM(76,640,747) = 36334080 / 4
LCM(76,640,747) = 9083520
Lets's calculate GCF of 97,30,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9083520/1
Therefore the LCM of Fractions 76/97,640/30,747/455 is 9083520
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
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 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 97,30,455 . The biggest common factor number is the GCF number.
So the greatest common factor 97,30,455 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 76/97, 640/30, 747/455?
Answer: LCM of Numerators as per given numbers 76/97, 640/30, 747/455 is
LCM of Numerators i.e. for 76,640,747 is 9083520
GCF of denominators i.e. for 97,30,455 is 1.
Thus, LCM of Fractions is 9083520.Finally, LCM of Fractions for 76/97, 640/30, 747/455 is 9083520.