Least Common Multiple of 7141/153, 2249/4183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7141/153, 2249/4183 quickly i.e. 16060109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7141/153, 2249/4183 is 16060109.

LCM(7141/153, 2249/4183) = 16060109

LCM of 7141/153, 2249/4183

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 7141/153,2249/4183

Given numbers are 7141/153,2249/4183

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 7141,2249

Least Common Multiple of Numerators i.e. LCM of 7141,2249 is 16060109.

GCF of Denominators means GCF of 153,4183 as per the given fractions.

GCF of 153,4183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7141,2249

LCM of Fractions 7141/153,2249/4183 is 16060109

Given numbers has no common factors except 1. So, there LCM is their product i.e 16060109

Least Common Multiple of 7141,2249 with GCF Formula

Least Common Multiple of 7141,2249 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 7141,2249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7141,2249) = 1

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

GCF(7141,2249) x common factors =1 x 1 = 1

LCM(7141,2249) = ( 7141 × 2249 ) / 1

LCM(7141,2249) = 16060109 / 1

LCM(7141,2249) = 16060109


Lets's calculate GCF of 153,4183

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16060109/1

Therefore the LCM of Fractions 7141/153,2249/4183 is 16060109

Greatest Common Factor of 153,4183 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,4183 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 4183

List of positive integer factors of 4183 that divides 4183 without a remainder.

1,47,89,4183

Greatest Common Factor

We found the factors 153,4183 . The biggest common factor number is the GCF number.
So the greatest common factor 153,4183 is 1.


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 7141/153, 2249/4183

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 7141/153, 2249/4183?

Answer: LCM of Numerators as per given numbers 7141/153, 2249/4183 is

LCM of Numerators i.e. for 7141,2249 is 16060109

GCF of denominators i.e. for 153,4183 is 1.

Thus, LCM of Fractions is 16060109.Finally, LCM of Fractions for 7141/153, 2249/4183 is 16060109.