Least Common Multiple of 703/41, 181/79, 214/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 703/41, 181/79, 214/511 quickly i.e. 27230002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/41, 181/79, 214/511 is 27230002.

LCM(703/41, 181/79, 214/511) = 27230002

LCM of 703/41, 181/79, 214/511

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 703/41,181/79,214/511

Given numbers are 703/41,181/79,214/511

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 703,181,214

Least Common Multiple of Numerators i.e. LCM of 703,181,214 is 27230002.

GCF of Denominators means GCF of 41,79,511 as per the given fractions.

GCF of 41,79,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,181,214

LCM of Fractions 703/41,181/79,214/511 is 27230002

Given numbers has no common factors except 1. So, there LCM is their product i.e 27230002

Least Common Multiple of 703,181,214 with GCF Formula

Least Common Multiple of 703,181,214 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 703,181,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,181,214) = 1

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

GCF(703,181,214) x common factors =1 x 1 = 1

LCM(703,181,214) = ( 703 × 181 × 214 ) / 1

LCM(703,181,214) = 27230002 / 1

LCM(703,181,214) = 27230002


Lets's calculate GCF of 41,79,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27230002/1

Therefore the LCM of Fractions 703/41,181/79,214/511 is 27230002

Greatest Common Factor of 41,79,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,79,511 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 41,79,511 . The biggest common factor number is the GCF number.
So the greatest common factor 41,79,511 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 703/41, 181/79, 214/511

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 703/41, 181/79, 214/511?

Answer: LCM of Numerators as per given numbers 703/41, 181/79, 214/511 is

LCM of Numerators i.e. for 703,181,214 is 27230002

GCF of denominators i.e. for 41,79,511 is 1.

Thus, LCM of Fractions is 27230002.Finally, LCM of Fractions for 703/41, 181/79, 214/511 is 27230002.