Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/47, 866/98, 895/53 quickly i.e. 211594110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/47, 866/98, 895/53 is 211594110.
LCM(546/47, 866/98, 895/53) = 211594110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/47,866/98,895/53
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 546,866,895
Least Common Multiple of Numerators i.e. LCM of 546,866,895 is 211594110.
GCF of Denominators means GCF of 47,98,53 as per the given fractions.
GCF of 47,98,53 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,866,895
2 | 546, 866, 895 |
273, 433, 895 |
∴ So the LCM of the given numbers is 2 x 273 x 433 x 895 = 211594110
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 546,866,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,866,895) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(546,866,895) x common factors =1 x 2 = 2
LCM(546,866,895) = ( 546 × 866 × 895 ) / 2
LCM(546,866,895) = 423188220 / 2
LCM(546,866,895) = 211594110
Lets's calculate GCF of 47,98,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211594110/1
Therefore the LCM of Fractions 546/47,866/98,895/53 is 211594110
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 47,98,53 . The biggest common factor number is the GCF number.
So the greatest common factor 47,98,53 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 546/47, 866/98, 895/53?
Answer: LCM of Numerators as per given numbers 546/47, 866/98, 895/53 is
LCM of Numerators i.e. for 546,866,895 is 211594110
GCF of denominators i.e. for 47,98,53 is 1.
Thus, LCM of Fractions is 211594110.Finally, LCM of Fractions for 546/47, 866/98, 895/53 is 211594110.