Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/708, 296/402, 142/184 quickly i.e. 493876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/708, 296/402, 142/184 is 493876.
LCM(94/708, 296/402, 142/184) = 493876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/708,296/402,142/184
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 94,296,142
Least Common Multiple of Numerators i.e. LCM of 94,296,142 is 987752.
GCF of Denominators means GCF of 708,402,184 as per the given fractions.
GCF of 708,402,184 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,296,142
2 | 94, 296, 142 |
47, 148, 71 |
∴ So the LCM of the given numbers is 2 x 47 x 148 x 71 = 987752
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 94,296,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,296,142) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,296,142) x common factors =2 x 2 = 4
LCM(94,296,142) = ( 94 × 296 × 142 ) / 4
LCM(94,296,142) = 3951008 / 4
LCM(94,296,142) = 987752
Lets's calculate GCF of 708,402,184
2 | 708, 402, 184 |
354, 201, 92 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 987752/2
Therefore the LCM of Fractions 94/708,296/402,142/184 is 493876
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 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 708,402,184 . The biggest common factor number is the GCF number.
So the greatest common factor 708,402,184 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 94/708, 296/402, 142/184?
Answer: LCM of Numerators as per given numbers 94/708, 296/402, 142/184 is
LCM of Numerators i.e. for 94,296,142 is 987752
GCF of denominators i.e. for 708,402,184 is 2.
Thus, LCM of Fractions is 493876.Finally, LCM of Fractions for 94/708, 296/402, 142/184 is 493876.