Least Common Multiple of 78/504, 4419/3003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/504, 4419/3003 quickly i.e. 114894/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/504, 4419/3003 is 114894/21.

LCM(78/504, 4419/3003) = 114894/21

LCM of 78/504, 4419/3003

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 78/504,4419/3003

Given numbers are 78/504,4419/3003

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 78,4419

Least Common Multiple of Numerators i.e. LCM of 78,4419 is 114894.

GCF of Denominators means GCF of 504,3003 as per the given fractions.

GCF of 504,3003 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,4419

LCM of Fractions 78/504,4419/3003 is 114894/21

3 78, 4419
26, 1473

∴ So the LCM of the given numbers is 3 x 26 x 1473 = 114894

Least Common Multiple of 78,4419 with GCF Formula

Least Common Multiple of 78,4419 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 78,4419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,4419) = 3

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

GCF(78,4419) x common factors =3 x 1 = 3

LCM(78,4419) = ( 78 × 4419 ) / 3

LCM(78,4419) = 344682 / 3

LCM(78,4419) = 114894


Lets's calculate GCF of 504,3003

3 504, 3003
7 168, 1001
24, 143

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114894/21

Therefore the LCM of Fractions 78/504,4419/3003 is 114894/21

Greatest Common Factor of 504,3003 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,3003 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003

Greatest Common Factor

We found the factors 504,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 504,3003 is 21.


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 78/504, 4419/3003

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 78/504, 4419/3003?

Answer: LCM of Numerators as per given numbers 78/504, 4419/3003 is

LCM of Numerators i.e. for 78,4419 is 114894

GCF of denominators i.e. for 504,3003 is 21.

Thus, LCM of Fractions is 114894/21.Finally, LCM of Fractions for 78/504, 4419/3003 is 114894/21.