Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 912/28, 840/93, 749/877 quickly i.e. 3415440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 912/28, 840/93, 749/877 is 3415440.
LCM(912/28, 840/93, 749/877) = 3415440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 912/28,840/93,749/877
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 912,840,749
Least Common Multiple of Numerators i.e. LCM of 912,840,749 is 3415440.
GCF of Denominators means GCF of 28,93,877 as per the given fractions.
GCF of 28,93,877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 912,840,749
2 | 912, 840, 749 |
2 | 456, 420, 749 |
2 | 228, 210, 749 |
3 | 114, 105, 749 |
7 | 38, 35, 749 |
38, 5, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 38 x 5 x 107 = 3415440
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 912,840,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,840,749) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(912,840,749) x common factors =1 x 168 = 168
LCM(912,840,749) = ( 912 × 840 × 749 ) / 168
LCM(912,840,749) = 573793920 / 168
LCM(912,840,749) = 3415440
Lets's calculate GCF of 28,93,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3415440/1
Therefore the LCM of Fractions 912/28,840/93,749/877 is 3415440
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 28,93,877 . The biggest common factor number is the GCF number.
So the greatest common factor 28,93,877 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 912/28, 840/93, 749/877?
Answer: LCM of Numerators as per given numbers 912/28, 840/93, 749/877 is
LCM of Numerators i.e. for 912,840,749 is 3415440
GCF of denominators i.e. for 28,93,877 is 1.
Thus, LCM of Fractions is 3415440.Finally, LCM of Fractions for 912/28, 840/93, 749/877 is 3415440.