Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1446/704, 9976/1116 quickly i.e. 1803162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1446/704, 9976/1116 is 1803162.
LCM(1446/704, 9976/1116) = 1803162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1446/704,9976/1116
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 1446,9976
Least Common Multiple of Numerators i.e. LCM of 1446,9976 is 7212648.
GCF of Denominators means GCF of 704,1116 as per the given fractions.
GCF of 704,1116 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1446,9976
2 | 1446, 9976 |
723, 4988 |
∴ So the LCM of the given numbers is 2 x 723 x 4988 = 7212648
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 1446,9976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1446,9976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1446,9976) x common factors =2 x 1 = 2
LCM(1446,9976) = ( 1446 × 9976 ) / 2
LCM(1446,9976) = 14425296 / 2
LCM(1446,9976) = 7212648
Lets's calculate GCF of 704,1116
2 | 704, 1116 |
2 | 352, 558 |
176, 279 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7212648/4
Therefore the LCM of Fractions 1446/704,9976/1116 is 1803162
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 1116
List of positive integer factors of 1116 that divides 1116 without a remainder.
1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Greatest Common Factor
We found the factors 704,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 704,1116 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 1446/704, 9976/1116?
Answer: LCM of Numerators as per given numbers 1446/704, 9976/1116 is
LCM of Numerators i.e. for 1446,9976 is 7212648
GCF of denominators i.e. for 704,1116 is 4.
Thus, LCM of Fractions is 1803162.Finally, LCM of Fractions for 1446/704, 9976/1116 is 1803162.