Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8937/972, 9698/6352 quickly i.e. 86671026/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8937/972, 9698/6352 is 86671026/4.
LCM(8937/972, 9698/6352) = 86671026/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8937/972,9698/6352
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 8937,9698
Least Common Multiple of Numerators i.e. LCM of 8937,9698 is 86671026.
GCF of Denominators means GCF of 972,6352 as per the given fractions.
GCF of 972,6352 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8937,9698
Given numbers has no common factors except 1. So, there LCM is their product i.e 86671026
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 8937,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8937,9698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8937,9698) x common factors =1 x 1 = 1
LCM(8937,9698) = ( 8937 × 9698 ) / 1
LCM(8937,9698) = 86671026 / 1
LCM(8937,9698) = 86671026
Lets's calculate GCF of 972,6352
2 | 972, 6352 |
2 | 486, 3176 |
243, 1588 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86671026/4
Therefore the LCM of Fractions 8937/972,9698/6352 is 86671026/4
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 972,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 972,6352 is 4.
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 8937/972, 9698/6352?
Answer: LCM of Numerators as per given numbers 8937/972, 9698/6352 is
LCM of Numerators i.e. for 8937,9698 is 86671026
GCF of denominators i.e. for 972,6352 is 4.
Thus, LCM of Fractions is 86671026/4.Finally, LCM of Fractions for 8937/972, 9698/6352 is 86671026/4.