Least Common Multiple of 44/214, 27/600, 704/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/214, 27/600, 704/351 quickly i.e. 19008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/214, 27/600, 704/351 is 19008.

LCM(44/214, 27/600, 704/351) = 19008

LCM of 44/214, 27/600, 704/351

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 44/214,27/600,704/351

Given numbers are 44/214,27/600,704/351

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 44,27,704

Least Common Multiple of Numerators i.e. LCM of 44,27,704 is 19008.

GCF of Denominators means GCF of 214,600,351 as per the given fractions.

GCF of 214,600,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,27,704

LCM of Fractions 44/214,27/600,704/351 is 19008

2 44, 27, 704
2 22, 27, 352
11 11, 27, 176
1, 27, 16

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 27 x 16 = 19008

Least Common Multiple of 44,27,704 with GCF Formula

Least Common Multiple of 44,27,704 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 44,27,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,27,704) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(44,27,704) x common factors =1 x 44 = 44

LCM(44,27,704) = ( 44 × 27 × 704 ) / 44

LCM(44,27,704) = 836352 / 44

LCM(44,27,704) = 19008


Lets's calculate GCF of 214,600,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19008/1

Therefore the LCM of Fractions 44/214,27/600,704/351 is 19008

Greatest Common Factor of 214,600,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,600,351 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 214,600,351 . The biggest common factor number is the GCF number.
So the greatest common factor 214,600,351 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 44/214, 27/600, 704/351

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 44/214, 27/600, 704/351?

Answer: LCM of Numerators as per given numbers 44/214, 27/600, 704/351 is

LCM of Numerators i.e. for 44,27,704 is 19008

GCF of denominators i.e. for 214,600,351 is 1.

Thus, LCM of Fractions is 19008.Finally, LCM of Fractions for 44/214, 27/600, 704/351 is 19008.