Least Common Multiple of 503/714, 7914/5671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/714, 7914/5671 quickly i.e. 3980742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/714, 7914/5671 is 3980742.

LCM(503/714, 7914/5671) = 3980742

LCM of 503/714, 7914/5671

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 503/714,7914/5671

Given numbers are 503/714,7914/5671

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 503,7914

Least Common Multiple of Numerators i.e. LCM of 503,7914 is 3980742.

GCF of Denominators means GCF of 714,5671 as per the given fractions.

GCF of 714,5671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,7914

LCM of Fractions 503/714,7914/5671 is 3980742

Given numbers has no common factors except 1. So, there LCM is their product i.e 3980742

Least Common Multiple of 503,7914 with GCF Formula

Least Common Multiple of 503,7914 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 503,7914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,7914) = 1

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

GCF(503,7914) x common factors =1 x 1 = 1

LCM(503,7914) = ( 503 × 7914 ) / 1

LCM(503,7914) = 3980742 / 1

LCM(503,7914) = 3980742


Lets's calculate GCF of 714,5671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3980742/1

Therefore the LCM of Fractions 503/714,7914/5671 is 3980742

Greatest Common Factor of 714,5671 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,5671 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 5671

List of positive integer factors of 5671 that divides 5671 without a remainder.

1,53,107,5671

Greatest Common Factor

We found the factors 714,5671 . The biggest common factor number is the GCF number.
So the greatest common factor 714,5671 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 503/714, 7914/5671

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 503/714, 7914/5671?

Answer: LCM of Numerators as per given numbers 503/714, 7914/5671 is

LCM of Numerators i.e. for 503,7914 is 3980742

GCF of denominators i.e. for 714,5671 is 1.

Thus, LCM of Fractions is 3980742.Finally, LCM of Fractions for 503/714, 7914/5671 is 3980742.