Least Common Multiple of 214/345, 886/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/345, 886/545 quickly i.e. 94802/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/345, 886/545 is 94802/5.

LCM(214/345, 886/545) = 94802/5

LCM of 214/345, 886/545

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 214/345,886/545

Given numbers are 214/345,886/545

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 214,886

Least Common Multiple of Numerators i.e. LCM of 214,886 is 94802.

GCF of Denominators means GCF of 345,545 as per the given fractions.

GCF of 345,545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,886

LCM of Fractions 214/345,886/545 is 94802/5

2 214, 886
107, 443

∴ So the LCM of the given numbers is 2 x 107 x 443 = 94802

Least Common Multiple of 214,886 with GCF Formula

Least Common Multiple of 214,886 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 214,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,886) = 2

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

GCF(214,886) x common factors =2 x 1 = 2

LCM(214,886) = ( 214 × 886 ) / 2

LCM(214,886) = 189604 / 2

LCM(214,886) = 94802


Lets's calculate GCF of 345,545

5 345, 545
69, 109

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94802/5

Therefore the LCM of Fractions 214/345,886/545 is 94802/5

Greatest Common Factor of 345,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,545 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 345,545 . The biggest common factor number is the GCF number.
So the greatest common factor 345,545 is 5.


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 214/345, 886/545

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 214/345, 886/545?

Answer: LCM of Numerators as per given numbers 214/345, 886/545 is

LCM of Numerators i.e. for 214,886 is 94802

GCF of denominators i.e. for 345,545 is 5.

Thus, LCM of Fractions is 94802/5.Finally, LCM of Fractions for 214/345, 886/545 is 94802/5.