Least Common Multiple of 1611/336, 5475/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1611/336, 5475/140 quickly i.e. 2940075/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1611/336, 5475/140 is 2940075/28.

LCM(1611/336, 5475/140) = 2940075/28

LCM of 1611/336, 5475/140

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 1611/336,5475/140

Given numbers are 1611/336,5475/140

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 1611,5475

Least Common Multiple of Numerators i.e. LCM of 1611,5475 is 2940075.

GCF of Denominators means GCF of 336,140 as per the given fractions.

GCF of 336,140 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1611,5475

LCM of Fractions 1611/336,5475/140 is 2940075/28

3 1611, 5475
537, 1825

∴ So the LCM of the given numbers is 3 x 537 x 1825 = 2940075

Least Common Multiple of 1611,5475 with GCF Formula

Least Common Multiple of 1611,5475 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 1611,5475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1611,5475) = 3

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

GCF(1611,5475) x common factors =3 x 1 = 3

LCM(1611,5475) = ( 1611 × 5475 ) / 3

LCM(1611,5475) = 8820225 / 3

LCM(1611,5475) = 2940075


Lets's calculate GCF of 336,140

2 336, 140
2 168, 70
7 84, 35
12, 5

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2940075/28

Therefore the LCM of Fractions 1611/336,5475/140 is 2940075/28

Greatest Common Factor of 336,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,140 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 336,140 . The biggest common factor number is the GCF number.
So the greatest common factor 336,140 is 28.


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 1611/336, 5475/140

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 1611/336, 5475/140?

Answer: LCM of Numerators as per given numbers 1611/336, 5475/140 is

LCM of Numerators i.e. for 1611,5475 is 2940075

GCF of denominators i.e. for 336,140 is 28.

Thus, LCM of Fractions is 2940075/28.Finally, LCM of Fractions for 1611/336, 5475/140 is 2940075/28.