Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/996, 36/658, 750/434 quickly i.e. 51750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/996, 36/658, 750/434 is 51750.
LCM(46/996, 36/658, 750/434) = 51750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/996,36/658,750/434
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 46,36,750
Least Common Multiple of Numerators i.e. LCM of 46,36,750 is 103500.
GCF of Denominators means GCF of 996,658,434 as per the given fractions.
GCF of 996,658,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,36,750
2 | 46, 36, 750 |
3 | 23, 18, 375 |
23, 6, 125 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 6 x 125 = 103500
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 46,36,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,36,750) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(46,36,750) x common factors =2 x 6 = 12
LCM(46,36,750) = ( 46 × 36 × 750 ) / 12
LCM(46,36,750) = 1242000 / 12
LCM(46,36,750) = 103500
Lets's calculate GCF of 996,658,434
2 | 996, 658, 434 |
498, 329, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103500/2
Therefore the LCM of Fractions 46/996,36/658,750/434 is 51750
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 996,658,434 . The biggest common factor number is the GCF number.
So the greatest common factor 996,658,434 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 46/996, 36/658, 750/434?
Answer: LCM of Numerators as per given numbers 46/996, 36/658, 750/434 is
LCM of Numerators i.e. for 46,36,750 is 103500
GCF of denominators i.e. for 996,658,434 is 2.
Thus, LCM of Fractions is 51750.Finally, LCM of Fractions for 46/996, 36/658, 750/434 is 51750.