Least Common Multiple of 43/348, 71/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/348, 71/214 quickly i.e. 3053/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/348, 71/214 is 3053/2.

LCM(43/348, 71/214) = 3053/2

LCM of 43/348, 71/214

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 43/348,71/214

Given numbers are 43/348,71/214

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 43,71

Least Common Multiple of Numerators i.e. LCM of 43,71 is 3053.

GCF of Denominators means GCF of 348,214 as per the given fractions.

GCF of 348,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,71

LCM of Fractions 43/348,71/214 is 3053/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3053

Least Common Multiple of 43,71 with GCF Formula

Least Common Multiple of 43,71 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 43,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,71) = 1

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

GCF(43,71) x common factors =1 x 1 = 1

LCM(43,71) = ( 43 × 71 ) / 1

LCM(43,71) = 3053 / 1

LCM(43,71) = 3053


Lets's calculate GCF of 348,214

2 348, 214
174, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3053/2

Therefore the LCM of Fractions 43/348,71/214 is 3053/2

Greatest Common Factor of 348,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,214 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 214

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

1,2,107,214

Greatest Common Factor

We found the factors 348,214 . The biggest common factor number is the GCF number.
So the greatest common factor 348,214 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 43/348, 71/214

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 43/348, 71/214?

Answer: LCM of Numerators as per given numbers 43/348, 71/214 is

LCM of Numerators i.e. for 43,71 is 3053

GCF of denominators i.e. for 348,214 is 2.

Thus, LCM of Fractions is 3053/2.Finally, LCM of Fractions for 43/348, 71/214 is 3053/2.