Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 942/42, 768/15, 800/862 quickly i.e. 3014400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 942/42, 768/15, 800/862 is 3014400.
LCM(942/42, 768/15, 800/862) = 3014400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 942/42,768/15,800/862
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 942,768,800
Least Common Multiple of Numerators i.e. LCM of 942,768,800 is 3014400.
GCF of Denominators means GCF of 42,15,862 as per the given fractions.
GCF of 42,15,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 942,768,800
2 | 942, 768, 800 |
2 | 471, 384, 400 |
2 | 471, 192, 200 |
2 | 471, 96, 100 |
2 | 471, 48, 50 |
3 | 471, 24, 25 |
157, 8, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 157 x 8 x 25 = 3014400
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 942,768,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,768,800) = 2
common factors(in case of two or more numbers have common factors) = 96
GCF(942,768,800) x common factors =2 x 96 = 192
LCM(942,768,800) = ( 942 × 768 × 800 ) / 192
LCM(942,768,800) = 578764800 / 192
LCM(942,768,800) = 3014400
Lets's calculate GCF of 42,15,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3014400/1
Therefore the LCM of Fractions 942/42,768/15,800/862 is 3014400
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 42,15,862 . The biggest common factor number is the GCF number.
So the greatest common factor 42,15,862 is 1.
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 942/42, 768/15, 800/862?
Answer: LCM of Numerators as per given numbers 942/42, 768/15, 800/862 is
LCM of Numerators i.e. for 942,768,800 is 3014400
GCF of denominators i.e. for 42,15,862 is 1.
Thus, LCM of Fractions is 3014400.Finally, LCM of Fractions for 942/42, 768/15, 800/862 is 3014400.