Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8240/913, 1914/946 quickly i.e. 716880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8240/913, 1914/946 is 716880.
LCM(8240/913, 1914/946) = 716880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8240/913,1914/946
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 8240,1914
Least Common Multiple of Numerators i.e. LCM of 8240,1914 is 7885680.
GCF of Denominators means GCF of 913,946 as per the given fractions.
GCF of 913,946 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8240,1914
2 | 8240, 1914 |
4120, 957 |
∴ So the LCM of the given numbers is 2 x 4120 x 957 = 7885680
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 8240,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8240,1914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8240,1914) x common factors =2 x 1 = 2
LCM(8240,1914) = ( 8240 × 1914 ) / 2
LCM(8240,1914) = 15771360 / 2
LCM(8240,1914) = 7885680
Lets's calculate GCF of 913,946
11 | 913, 946 |
83, 86 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7885680/11
Therefore the LCM of Fractions 8240/913,1914/946 is 716880
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 913,946 . The biggest common factor number is the GCF number.
So the greatest common factor 913,946 is 11.
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 8240/913, 1914/946?
Answer: LCM of Numerators as per given numbers 8240/913, 1914/946 is
LCM of Numerators i.e. for 8240,1914 is 7885680
GCF of denominators i.e. for 913,946 is 11.
Thus, LCM of Fractions is 716880.Finally, LCM of Fractions for 8240/913, 1914/946 is 716880.