Least Common Multiple of 127/84, 127/66, 514/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 127/84, 127/66, 514/200 quickly i.e. 32639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/84, 127/66, 514/200 is 32639.

LCM(127/84, 127/66, 514/200) = 32639

LCM of 127/84, 127/66, 514/200

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 127/84,127/66,514/200

Given numbers are 127/84,127/66,514/200

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 127,127,514

Least Common Multiple of Numerators i.e. LCM of 127,127,514 is 65278.

GCF of Denominators means GCF of 84,66,200 as per the given fractions.

GCF of 84,66,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,127,514

LCM of Fractions 127/84,127/66,514/200 is 32639

127 127, 127, 514
1, 1, 514

∴ So the LCM of the given numbers is 127 x 1 x 1 x 514 = 65278

Least Common Multiple of 127,127,514 with GCF Formula

Least Common Multiple of 127,127,514 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 127,127,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,127,514) = 1

common factors(in case of two or more numbers have common factors) = 127

GCF(127,127,514) x common factors =1 x 127 = 127

LCM(127,127,514) = ( 127 × 127 × 514 ) / 127

LCM(127,127,514) = 8290306 / 127

LCM(127,127,514) = 65278


Lets's calculate GCF of 84,66,200

2 84, 66, 200
42, 33, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65278/2

Therefore the LCM of Fractions 127/84,127/66,514/200 is 32639

Greatest Common Factor of 84,66,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,66,200 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 84,66,200 . The biggest common factor number is the GCF number.
So the greatest common factor 84,66,200 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 127/84, 127/66, 514/200

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 127/84, 127/66, 514/200?

Answer: LCM of Numerators as per given numbers 127/84, 127/66, 514/200 is

LCM of Numerators i.e. for 127,127,514 is 65278

GCF of denominators i.e. for 84,66,200 is 2.

Thus, LCM of Fractions is 32639.Finally, LCM of Fractions for 127/84, 127/66, 514/200 is 32639.