Least Common Multiple of 47/838, 61/747, 214/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/838, 61/747, 214/713 quickly i.e. 613538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/838, 61/747, 214/713 is 613538.

LCM(47/838, 61/747, 214/713) = 613538

LCM of 47/838, 61/747, 214/713

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 47/838,61/747,214/713

Given numbers are 47/838,61/747,214/713

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 47,61,214

Least Common Multiple of Numerators i.e. LCM of 47,61,214 is 613538.

GCF of Denominators means GCF of 838,747,713 as per the given fractions.

GCF of 838,747,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,61,214

LCM of Fractions 47/838,61/747,214/713 is 613538

Given numbers has no common factors except 1. So, there LCM is their product i.e 613538

Least Common Multiple of 47,61,214 with GCF Formula

Least Common Multiple of 47,61,214 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 47,61,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,61,214) = 1

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

GCF(47,61,214) x common factors =1 x 1 = 1

LCM(47,61,214) = ( 47 × 61 × 214 ) / 1

LCM(47,61,214) = 613538 / 1

LCM(47,61,214) = 613538


Lets's calculate GCF of 838,747,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613538/1

Therefore the LCM of Fractions 47/838,61/747,214/713 is 613538

Greatest Common Factor of 838,747,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,747,713 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 838,747,713 . The biggest common factor number is the GCF number.
So the greatest common factor 838,747,713 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 47/838, 61/747, 214/713

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 47/838, 61/747, 214/713?

Answer: LCM of Numerators as per given numbers 47/838, 61/747, 214/713 is

LCM of Numerators i.e. for 47,61,214 is 613538

GCF of denominators i.e. for 838,747,713 is 1.

Thus, LCM of Fractions is 613538.Finally, LCM of Fractions for 47/838, 61/747, 214/713 is 613538.