Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/562, 66/156, 361/884 quickly i.e. 1155561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/562, 66/156, 361/884 is 1155561.
LCM(97/562, 66/156, 361/884) = 1155561
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/562,66/156,361/884
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 97,66,361
Least Common Multiple of Numerators i.e. LCM of 97,66,361 is 2311122.
GCF of Denominators means GCF of 562,156,884 as per the given fractions.
GCF of 562,156,884 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,66,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 2311122
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 97,66,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,66,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,66,361) x common factors =1 x 1 = 1
LCM(97,66,361) = ( 97 × 66 × 361 ) / 1
LCM(97,66,361) = 2311122 / 1
LCM(97,66,361) = 2311122
Lets's calculate GCF of 562,156,884
2 | 562, 156, 884 |
281, 78, 442 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2311122/2
Therefore the LCM of Fractions 97/562,66/156,361/884 is 1155561
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 562,156,884 . The biggest common factor number is the GCF number.
So the greatest common factor 562,156,884 is 2.
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 97/562, 66/156, 361/884?
Answer: LCM of Numerators as per given numbers 97/562, 66/156, 361/884 is
LCM of Numerators i.e. for 97,66,361 is 2311122
GCF of denominators i.e. for 562,156,884 is 2.
Thus, LCM of Fractions is 1155561.Finally, LCM of Fractions for 97/562, 66/156, 361/884 is 1155561.