Least Common Multiple of 111/83, 828/62, 144/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 111/83, 828/62, 144/140 quickly i.e. 122544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/83, 828/62, 144/140 is 122544.

LCM(111/83, 828/62, 144/140) = 122544

LCM of 111/83, 828/62, 144/140

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 111/83,828/62,144/140

Given numbers are 111/83,828/62,144/140

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 111,828,144

Least Common Multiple of Numerators i.e. LCM of 111,828,144 is 122544.

GCF of Denominators means GCF of 83,62,140 as per the given fractions.

GCF of 83,62,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,828,144

LCM of Fractions 111/83,828/62,144/140 is 122544

2 111, 828, 144
2 111, 414, 72
3 111, 207, 36
3 37, 69, 12
37, 23, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 37 x 23 x 4 = 122544

Least Common Multiple of 111,828,144 with GCF Formula

Least Common Multiple of 111,828,144 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 111,828,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,828,144) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(111,828,144) x common factors =3 x 36 = 108

LCM(111,828,144) = ( 111 × 828 × 144 ) / 108

LCM(111,828,144) = 13234752 / 108

LCM(111,828,144) = 122544


Lets's calculate GCF of 83,62,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122544/1

Therefore the LCM of Fractions 111/83,828/62,144/140 is 122544

Greatest Common Factor of 83,62,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,62,140 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

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 83,62,140 . The biggest common factor number is the GCF number.
So the greatest common factor 83,62,140 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 111/83, 828/62, 144/140

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 111/83, 828/62, 144/140?

Answer: LCM of Numerators as per given numbers 111/83, 828/62, 144/140 is

LCM of Numerators i.e. for 111,828,144 is 122544

GCF of denominators i.e. for 83,62,140 is 1.

Thus, LCM of Fractions is 122544.Finally, LCM of Fractions for 111/83, 828/62, 144/140 is 122544.