Least Common Multiple of 188/824, 7538/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/824, 7538/899 quickly i.e. 708572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/824, 7538/899 is 708572.

LCM(188/824, 7538/899) = 708572

LCM of 188/824, 7538/899

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 188/824,7538/899

Given numbers are 188/824,7538/899

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 188,7538

Least Common Multiple of Numerators i.e. LCM of 188,7538 is 708572.

GCF of Denominators means GCF of 824,899 as per the given fractions.

GCF of 824,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,7538

LCM of Fractions 188/824,7538/899 is 708572

2 188, 7538
94, 3769

∴ So the LCM of the given numbers is 2 x 94 x 3769 = 708572

Least Common Multiple of 188,7538 with GCF Formula

Least Common Multiple of 188,7538 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 188,7538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,7538) = 2

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

GCF(188,7538) x common factors =2 x 1 = 2

LCM(188,7538) = ( 188 × 7538 ) / 2

LCM(188,7538) = 1417144 / 2

LCM(188,7538) = 708572


Lets's calculate GCF of 824,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 708572/1

Therefore the LCM of Fractions 188/824,7538/899 is 708572

Greatest Common Factor of 824,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,899 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 824,899 . The biggest common factor number is the GCF number.
So the greatest common factor 824,899 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 188/824, 7538/899

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 188/824, 7538/899?

Answer: LCM of Numerators as per given numbers 188/824, 7538/899 is

LCM of Numerators i.e. for 188,7538 is 708572

GCF of denominators i.e. for 824,899 is 1.

Thus, LCM of Fractions is 708572.Finally, LCM of Fractions for 188/824, 7538/899 is 708572.