Least Common Multiple of 382/16, 668/6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 382/16, 668/6567 quickly i.e. 127588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/16, 668/6567 is 127588.

LCM(382/16, 668/6567) = 127588

LCM of 382/16, 668/6567

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 382/16,668/6567

Given numbers are 382/16,668/6567

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 382,668

Least Common Multiple of Numerators i.e. LCM of 382,668 is 127588.

GCF of Denominators means GCF of 16,6567 as per the given fractions.

GCF of 16,6567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,668

LCM of Fractions 382/16,668/6567 is 127588

2 382, 668
191, 334

∴ So the LCM of the given numbers is 2 x 191 x 334 = 127588

Least Common Multiple of 382,668 with GCF Formula

Least Common Multiple of 382,668 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 382,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,668) = 2

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

GCF(382,668) x common factors =2 x 1 = 2

LCM(382,668) = ( 382 × 668 ) / 2

LCM(382,668) = 255176 / 2

LCM(382,668) = 127588


Lets's calculate GCF of 16,6567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127588/1

Therefore the LCM of Fractions 382/16,668/6567 is 127588

Greatest Common Factor of 16,6567 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,6567 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 6567

List of positive integer factors of 6567 that divides 6567 without a remainder.

1,3,11,33,199,597,2189,6567

Greatest Common Factor

We found the factors 16,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 16,6567 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 382/16, 668/6567

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 382/16, 668/6567?

Answer: LCM of Numerators as per given numbers 382/16, 668/6567 is

LCM of Numerators i.e. for 382,668 is 127588

GCF of denominators i.e. for 16,6567 is 1.

Thus, LCM of Fractions is 127588.Finally, LCM of Fractions for 382/16, 668/6567 is 127588.