Least Common Multiple of 7261/145, 4905/5945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7261/145, 4905/5945 quickly i.e. 35615205/145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7261/145, 4905/5945 is 35615205/145.

LCM(7261/145, 4905/5945) = 35615205/145

LCM of 7261/145, 4905/5945

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 7261/145,4905/5945

Given numbers are 7261/145,4905/5945

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 7261,4905

Least Common Multiple of Numerators i.e. LCM of 7261,4905 is 35615205.

GCF of Denominators means GCF of 145,5945 as per the given fractions.

GCF of 145,5945 is 145 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7261,4905

LCM of Fractions 7261/145,4905/5945 is 35615205/145

Given numbers has no common factors except 1. So, there LCM is their product i.e 35615205

Least Common Multiple of 7261,4905 with GCF Formula

Least Common Multiple of 7261,4905 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 7261,4905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7261,4905) = 1

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

GCF(7261,4905) x common factors =1 x 1 = 1

LCM(7261,4905) = ( 7261 × 4905 ) / 1

LCM(7261,4905) = 35615205 / 1

LCM(7261,4905) = 35615205


Lets's calculate GCF of 145,5945

5 145, 5945
29 29, 1189
1, 41

∴ So the GCF of the given numbers is 5 x 29 = 145

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35615205/145

Therefore the LCM of Fractions 7261/145,4905/5945 is 35615205/145

Greatest Common Factor of 145,5945 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,5945 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 5945

List of positive integer factors of 5945 that divides 5945 without a remainder.

1,5,29,41,145,205,1189,5945

Greatest Common Factor

We found the factors 145,5945 . The biggest common factor number is the GCF number.
So the greatest common factor 145,5945 is 145.


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 7261/145, 4905/5945

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 7261/145, 4905/5945?

Answer: LCM of Numerators as per given numbers 7261/145, 4905/5945 is

LCM of Numerators i.e. for 7261,4905 is 35615205

GCF of denominators i.e. for 145,5945 is 145.

Thus, LCM of Fractions is 35615205/145.Finally, LCM of Fractions for 7261/145, 4905/5945 is 35615205/145.