Least Common Multiple of 1042/340, 1284/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1042/340, 1284/181 quickly i.e. 668964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1042/340, 1284/181 is 668964.

LCM(1042/340, 1284/181) = 668964

LCM of 1042/340, 1284/181

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 1042/340,1284/181

Given numbers are 1042/340,1284/181

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 1042,1284

Least Common Multiple of Numerators i.e. LCM of 1042,1284 is 668964.

GCF of Denominators means GCF of 340,181 as per the given fractions.

GCF of 340,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1042,1284

LCM of Fractions 1042/340,1284/181 is 668964

2 1042, 1284
521, 642

∴ So the LCM of the given numbers is 2 x 521 x 642 = 668964

Least Common Multiple of 1042,1284 with GCF Formula

Least Common Multiple of 1042,1284 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 1042,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1042,1284) = 2

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

GCF(1042,1284) x common factors =2 x 1 = 2

LCM(1042,1284) = ( 1042 × 1284 ) / 2

LCM(1042,1284) = 1337928 / 2

LCM(1042,1284) = 668964


Lets's calculate GCF of 340,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668964/1

Therefore the LCM of Fractions 1042/340,1284/181 is 668964

Greatest Common Factor of 340,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,181 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 340,181 . The biggest common factor number is the GCF number.
So the greatest common factor 340,181 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 1042/340, 1284/181

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 1042/340, 1284/181?

Answer: LCM of Numerators as per given numbers 1042/340, 1284/181 is

LCM of Numerators i.e. for 1042,1284 is 668964

GCF of denominators i.e. for 340,181 is 1.

Thus, LCM of Fractions is 668964.Finally, LCM of Fractions for 1042/340, 1284/181 is 668964.