Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/862, 236/676, 947/850 quickly i.e. 782222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/862, 236/676, 947/850 is 782222.
LCM(28/862, 236/676, 947/850) = 782222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/862,236/676,947/850
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 28,236,947
Least Common Multiple of Numerators i.e. LCM of 28,236,947 is 1564444.
GCF of Denominators means GCF of 862,676,850 as per the given fractions.
GCF of 862,676,850 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,236,947
2 | 28, 236, 947 |
2 | 14, 118, 947 |
7, 59, 947 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 59 x 947 = 1564444
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 28,236,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,236,947) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(28,236,947) x common factors =1 x 4 = 4
LCM(28,236,947) = ( 28 × 236 × 947 ) / 4
LCM(28,236,947) = 6257776 / 4
LCM(28,236,947) = 1564444
Lets's calculate GCF of 862,676,850
2 | 862, 676, 850 |
431, 338, 425 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1564444/2
Therefore the LCM of Fractions 28/862,236/676,947/850 is 782222
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Greatest Common Factor
We found the factors 862,676,850 . The biggest common factor number is the GCF number.
So the greatest common factor 862,676,850 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 28/862, 236/676, 947/850?
Answer: LCM of Numerators as per given numbers 28/862, 236/676, 947/850 is
LCM of Numerators i.e. for 28,236,947 is 1564444
GCF of denominators i.e. for 862,676,850 is 2.
Thus, LCM of Fractions is 782222.Finally, LCM of Fractions for 28/862, 236/676, 947/850 is 782222.