Least Common Multiple of 7415/880, 7497/9042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7415/880, 7497/9042 quickly i.e. 55590255/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7415/880, 7497/9042 is 55590255/22.

LCM(7415/880, 7497/9042) = 55590255/22

LCM of 7415/880, 7497/9042

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7415/880,7497/9042

Given numbers are 7415/880,7497/9042

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 7415,7497

Least Common Multiple of Numerators i.e. LCM of 7415,7497 is 55590255.

GCF of Denominators means GCF of 880,9042 as per the given fractions.

GCF of 880,9042 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7415,7497

LCM of Fractions 7415/880,7497/9042 is 55590255/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 55590255

Least Common Multiple of 7415,7497 with GCF Formula

Least Common Multiple of 7415,7497 with GCF Formula

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 7415,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7415,7497) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7415,7497) x common factors =1 x 1 = 1

LCM(7415,7497) = ( 7415 × 7497 ) / 1

LCM(7415,7497) = 55590255 / 1

LCM(7415,7497) = 55590255


Lets's calculate GCF of 880,9042

2 880, 9042
11 440, 4521
40, 411

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55590255/22

Therefore the LCM of Fractions 7415/880,7497/9042 is 55590255/22

Greatest Common Factor of 880,9042 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,9042 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 9042

List of positive integer factors of 9042 that divides 9042 without a remainder.

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Greatest Common Factor

We found the factors 880,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 880,9042 is 22.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7415/880, 7497/9042

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 7415/880, 7497/9042?

Answer: LCM of Numerators as per given numbers 7415/880, 7497/9042 is

LCM of Numerators i.e. for 7415,7497 is 55590255

GCF of denominators i.e. for 880,9042 is 22.

Thus, LCM of Fractions is 55590255/22.Finally, LCM of Fractions for 7415/880, 7497/9042 is 55590255/22.