Least Common Multiple of 188/70, 578/6548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/70, 578/6548 quickly i.e. 27166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/70, 578/6548 is 27166.

LCM(188/70, 578/6548) = 27166

LCM of 188/70, 578/6548

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 188/70,578/6548

Given numbers are 188/70,578/6548

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 188,578

Least Common Multiple of Numerators i.e. LCM of 188,578 is 54332.

GCF of Denominators means GCF of 70,6548 as per the given fractions.

GCF of 70,6548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,578

LCM of Fractions 188/70,578/6548 is 27166

2 188, 578
94, 289

∴ So the LCM of the given numbers is 2 x 94 x 289 = 54332

Least Common Multiple of 188,578 with GCF Formula

Least Common Multiple of 188,578 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 188,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,578) = 2

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

GCF(188,578) x common factors =2 x 1 = 2

LCM(188,578) = ( 188 × 578 ) / 2

LCM(188,578) = 108664 / 2

LCM(188,578) = 54332


Lets's calculate GCF of 70,6548

2 70, 6548
35, 3274

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54332/2

Therefore the LCM of Fractions 188/70,578/6548 is 27166

Greatest Common Factor of 70,6548 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,6548 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1,2,4,1637,3274,6548

Greatest Common Factor

We found the factors 70,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6548 is 2.


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 188/70, 578/6548

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 188/70, 578/6548?

Answer: LCM of Numerators as per given numbers 188/70, 578/6548 is

LCM of Numerators i.e. for 188,578 is 54332

GCF of denominators i.e. for 70,6548 is 2.

Thus, LCM of Fractions is 27166.Finally, LCM of Fractions for 188/70, 578/6548 is 27166.