Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/100, 452/282, 347/649 quickly i.e. 12076988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/100, 452/282, 347/649 is 12076988.
LCM(77/100, 452/282, 347/649) = 12076988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/100,452/282,347/649
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 77,452,347
Least Common Multiple of Numerators i.e. LCM of 77,452,347 is 12076988.
GCF of Denominators means GCF of 100,282,649 as per the given fractions.
GCF of 100,282,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,452,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 12076988
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 77,452,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,452,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,452,347) x common factors =1 x 1 = 1
LCM(77,452,347) = ( 77 × 452 × 347 ) / 1
LCM(77,452,347) = 12076988 / 1
LCM(77,452,347) = 12076988
Lets's calculate GCF of 100,282,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12076988/1
Therefore the LCM of Fractions 77/100,452/282,347/649 is 12076988
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 100,282,649 . The biggest common factor number is the GCF number.
So the greatest common factor 100,282,649 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 77/100, 452/282, 347/649?
Answer: LCM of Numerators as per given numbers 77/100, 452/282, 347/649 is
LCM of Numerators i.e. for 77,452,347 is 12076988
GCF of denominators i.e. for 100,282,649 is 1.
Thus, LCM of Fractions is 12076988.Finally, LCM of Fractions for 77/100, 452/282, 347/649 is 12076988.