Least Common Multiple of 852/50, 382/51, 214/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/50, 382/51, 214/64 quickly i.e. 17412324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/50, 382/51, 214/64 is 17412324.

LCM(852/50, 382/51, 214/64) = 17412324

LCM of 852/50, 382/51, 214/64

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 852/50,382/51,214/64

Given numbers are 852/50,382/51,214/64

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 852,382,214

Least Common Multiple of Numerators i.e. LCM of 852,382,214 is 17412324.

GCF of Denominators means GCF of 50,51,64 as per the given fractions.

GCF of 50,51,64 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,382,214

LCM of Fractions 852/50,382/51,214/64 is 17412324

2 852, 382, 214
426, 191, 107

∴ So the LCM of the given numbers is 2 x 426 x 191 x 107 = 17412324

Least Common Multiple of 852,382,214 with GCF Formula

Least Common Multiple of 852,382,214 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 852,382,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,382,214) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(852,382,214) x common factors =2 x 2 = 4

LCM(852,382,214) = ( 852 × 382 × 214 ) / 4

LCM(852,382,214) = 69649296 / 4

LCM(852,382,214) = 17412324


Lets's calculate GCF of 50,51,64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17412324/1

Therefore the LCM of Fractions 852/50,382/51,214/64 is 17412324

Greatest Common Factor of 50,51,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,51,64 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 50,51,64 . The biggest common factor number is the GCF number.
So the greatest common factor 50,51,64 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 852/50, 382/51, 214/64

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 852/50, 382/51, 214/64?

Answer: LCM of Numerators as per given numbers 852/50, 382/51, 214/64 is

LCM of Numerators i.e. for 852,382,214 is 17412324

GCF of denominators i.e. for 50,51,64 is 1.

Thus, LCM of Fractions is 17412324.Finally, LCM of Fractions for 852/50, 382/51, 214/64 is 17412324.