Least Common Multiple of 141/144, 2080/1145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 141/144, 2080/1145 quickly i.e. 293280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 141/144, 2080/1145 is 293280.

LCM(141/144, 2080/1145) = 293280

LCM of 141/144, 2080/1145

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 141/144,2080/1145

Given numbers are 141/144,2080/1145

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 141,2080

Least Common Multiple of Numerators i.e. LCM of 141,2080 is 293280.

GCF of Denominators means GCF of 144,1145 as per the given fractions.

GCF of 144,1145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 141,2080

LCM of Fractions 141/144,2080/1145 is 293280

Given numbers has no common factors except 1. So, there LCM is their product i.e 293280

Least Common Multiple of 141,2080 with GCF Formula

Least Common Multiple of 141,2080 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 141,2080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,2080) = 1

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

GCF(141,2080) x common factors =1 x 1 = 1

LCM(141,2080) = ( 141 × 2080 ) / 1

LCM(141,2080) = 293280 / 1

LCM(141,2080) = 293280


Lets's calculate GCF of 144,1145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293280/1

Therefore the LCM of Fractions 141/144,2080/1145 is 293280

Greatest Common Factor of 144,1145 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,1145 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 1145

List of positive integer factors of 1145 that divides 1145 without a remainder.

1,5,229,1145

Greatest Common Factor

We found the factors 144,1145 . The biggest common factor number is the GCF number.
So the greatest common factor 144,1145 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 141/144, 2080/1145

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 141/144, 2080/1145?

Answer: LCM of Numerators as per given numbers 141/144, 2080/1145 is

LCM of Numerators i.e. for 141,2080 is 293280

GCF of denominators i.e. for 144,1145 is 1.

Thus, LCM of Fractions is 293280.Finally, LCM of Fractions for 141/144, 2080/1145 is 293280.