Least Common Multiple of 7903/214, 9076/8403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7903/214, 9076/8403 quickly i.e. 71727628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7903/214, 9076/8403 is 71727628.

LCM(7903/214, 9076/8403) = 71727628

LCM of 7903/214, 9076/8403

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 7903/214,9076/8403

Given numbers are 7903/214,9076/8403

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 7903,9076

Least Common Multiple of Numerators i.e. LCM of 7903,9076 is 71727628.

GCF of Denominators means GCF of 214,8403 as per the given fractions.

GCF of 214,8403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7903,9076

LCM of Fractions 7903/214,9076/8403 is 71727628

Given numbers has no common factors except 1. So, there LCM is their product i.e 71727628

Least Common Multiple of 7903,9076 with GCF Formula

Least Common Multiple of 7903,9076 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 7903,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7903,9076) = 1

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

GCF(7903,9076) x common factors =1 x 1 = 1

LCM(7903,9076) = ( 7903 × 9076 ) / 1

LCM(7903,9076) = 71727628 / 1

LCM(7903,9076) = 71727628


Lets's calculate GCF of 214,8403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71727628/1

Therefore the LCM of Fractions 7903/214,9076/8403 is 71727628

Greatest Common Factor of 214,8403 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,8403 By Matching Biggest Common Factor Method

Factors of 214

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

1,2,107,214

Factors of 8403

List of positive integer factors of 8403 that divides 8403 without a remainder.

1,3,2801,8403

Greatest Common Factor

We found the factors 214,8403 . The biggest common factor number is the GCF number.
So the greatest common factor 214,8403 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 7903/214, 9076/8403

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 7903/214, 9076/8403?

Answer: LCM of Numerators as per given numbers 7903/214, 9076/8403 is

LCM of Numerators i.e. for 7903,9076 is 71727628

GCF of denominators i.e. for 214,8403 is 1.

Thus, LCM of Fractions is 71727628.Finally, LCM of Fractions for 7903/214, 9076/8403 is 71727628.