Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 457/918, 9392/7540 quickly i.e. 2146072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 457/918, 9392/7540 is 2146072.
LCM(457/918, 9392/7540) = 2146072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 457/918,9392/7540
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 457,9392
Least Common Multiple of Numerators i.e. LCM of 457,9392 is 4292144.
GCF of Denominators means GCF of 918,7540 as per the given fractions.
GCF of 918,7540 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 457,9392
Given numbers has no common factors except 1. So, there LCM is their product i.e 4292144
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 457,9392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,9392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,9392) x common factors =1 x 1 = 1
LCM(457,9392) = ( 457 × 9392 ) / 1
LCM(457,9392) = 4292144 / 1
LCM(457,9392) = 4292144
Lets's calculate GCF of 918,7540
2 | 918, 7540 |
459, 3770 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4292144/2
Therefore the LCM of Fractions 457/918,9392/7540 is 2146072
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 7540
List of positive integer factors of 7540 that divides 7540 without a remainder.
1,2,4,5,10,13,20,26,29,52,58,65,116,130,145,260,290,377,580,754,1508,1885,3770,7540
Greatest Common Factor
We found the factors 918,7540 . The biggest common factor number is the GCF number.
So the greatest common factor 918,7540 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 457/918, 9392/7540?
Answer: LCM of Numerators as per given numbers 457/918, 9392/7540 is
LCM of Numerators i.e. for 457,9392 is 4292144
GCF of denominators i.e. for 918,7540 is 2.
Thus, LCM of Fractions is 2146072.Finally, LCM of Fractions for 457/918, 9392/7540 is 2146072.