Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8112/708, 7124/3988 quickly i.e. 277836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8112/708, 7124/3988 is 277836.
LCM(8112/708, 7124/3988) = 277836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8112/708,7124/3988
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 8112,7124
Least Common Multiple of Numerators i.e. LCM of 8112,7124 is 1111344.
GCF of Denominators means GCF of 708,3988 as per the given fractions.
GCF of 708,3988 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8112,7124
2 | 8112, 7124 |
2 | 4056, 3562 |
13 | 2028, 1781 |
156, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 156 x 137 = 1111344
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 8112,7124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8112,7124) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(8112,7124) x common factors =52 x 1 = 52
LCM(8112,7124) = ( 8112 × 7124 ) / 52
LCM(8112,7124) = 57789888 / 52
LCM(8112,7124) = 1111344
Lets's calculate GCF of 708,3988
2 | 708, 3988 |
2 | 354, 1994 |
177, 997 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1111344/4
Therefore the LCM of Fractions 8112/708,7124/3988 is 277836
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 3988
List of positive integer factors of 3988 that divides 3988 without a remainder.
1,2,4,997,1994,3988
Greatest Common Factor
We found the factors 708,3988 . The biggest common factor number is the GCF number.
So the greatest common factor 708,3988 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 8112/708, 7124/3988?
Answer: LCM of Numerators as per given numbers 8112/708, 7124/3988 is
LCM of Numerators i.e. for 8112,7124 is 1111344
GCF of denominators i.e. for 708,3988 is 4.
Thus, LCM of Fractions is 277836.Finally, LCM of Fractions for 8112/708, 7124/3988 is 277836.