Least Common Multiple of 411/126, 882/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 411/126, 882/627 quickly i.e. 40278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 411/126, 882/627 is 40278.

LCM(411/126, 882/627) = 40278

LCM of 411/126, 882/627

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 411/126,882/627

Given numbers are 411/126,882/627

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 411,882

Least Common Multiple of Numerators i.e. LCM of 411,882 is 120834.

GCF of Denominators means GCF of 126,627 as per the given fractions.

GCF of 126,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 411,882

LCM of Fractions 411/126,882/627 is 40278

3 411, 882
137, 294

∴ So the LCM of the given numbers is 3 x 137 x 294 = 120834

Least Common Multiple of 411,882 with GCF Formula

Least Common Multiple of 411,882 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 411,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,882) = 3

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

GCF(411,882) x common factors =3 x 1 = 3

LCM(411,882) = ( 411 × 882 ) / 3

LCM(411,882) = 362502 / 3

LCM(411,882) = 120834


Lets's calculate GCF of 126,627

3 126, 627
42, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120834/3

Therefore the LCM of Fractions 411/126,882/627 is 40278

Greatest Common Factor of 126,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,627 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 126,627 . The biggest common factor number is the GCF number.
So the greatest common factor 126,627 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 411/126, 882/627

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 411/126, 882/627?

Answer: LCM of Numerators as per given numbers 411/126, 882/627 is

LCM of Numerators i.e. for 411,882 is 120834

GCF of denominators i.e. for 126,627 is 3.

Thus, LCM of Fractions is 40278.Finally, LCM of Fractions for 411/126, 882/627 is 40278.