Least Common Multiple of 1374/27, 8451/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1374/27, 8451/141 quickly i.e. 1290186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1374/27, 8451/141 is 1290186.

LCM(1374/27, 8451/141) = 1290186

LCM of 1374/27, 8451/141

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 1374/27,8451/141

Given numbers are 1374/27,8451/141

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 1374,8451

Least Common Multiple of Numerators i.e. LCM of 1374,8451 is 3870558.

GCF of Denominators means GCF of 27,141 as per the given fractions.

GCF of 27,141 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1374,8451

LCM of Fractions 1374/27,8451/141 is 1290186

3 1374, 8451
458, 2817

∴ So the LCM of the given numbers is 3 x 458 x 2817 = 3870558

Least Common Multiple of 1374,8451 with GCF Formula

Least Common Multiple of 1374,8451 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 1374,8451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1374,8451) = 3

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

GCF(1374,8451) x common factors =3 x 1 = 3

LCM(1374,8451) = ( 1374 × 8451 ) / 3

LCM(1374,8451) = 11611674 / 3

LCM(1374,8451) = 3870558


Lets's calculate GCF of 27,141

3 27, 141
9, 47

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3870558/3

Therefore the LCM of Fractions 1374/27,8451/141 is 1290186

Greatest Common Factor of 27,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,141 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 27,141 . The biggest common factor number is the GCF number.
So the greatest common factor 27,141 is 3.


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 1374/27, 8451/141

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 1374/27, 8451/141?

Answer: LCM of Numerators as per given numbers 1374/27, 8451/141 is

LCM of Numerators i.e. for 1374,8451 is 3870558

GCF of denominators i.e. for 27,141 is 3.

Thus, LCM of Fractions is 1290186.Finally, LCM of Fractions for 1374/27, 8451/141 is 1290186.