Least Common Multiple of 13/504, 7978/7304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/504, 7978/7304 quickly i.e. 103714/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/504, 7978/7304 is 103714/8.

LCM(13/504, 7978/7304) = 103714/8

LCM of 13/504, 7978/7304

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 13/504,7978/7304

Given numbers are 13/504,7978/7304

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 13,7978

Least Common Multiple of Numerators i.e. LCM of 13,7978 is 103714.

GCF of Denominators means GCF of 504,7304 as per the given fractions.

GCF of 504,7304 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,7978

LCM of Fractions 13/504,7978/7304 is 103714/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 103714

Least Common Multiple of 13,7978 with GCF Formula

Least Common Multiple of 13,7978 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 13,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,7978) = 1

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

GCF(13,7978) x common factors =1 x 1 = 1

LCM(13,7978) = ( 13 × 7978 ) / 1

LCM(13,7978) = 103714 / 1

LCM(13,7978) = 103714


Lets's calculate GCF of 504,7304

2 504, 7304
2 252, 3652
2 126, 1826
63, 913

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103714/8

Therefore the LCM of Fractions 13/504,7978/7304 is 103714/8

Greatest Common Factor of 504,7304 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,7304 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 7304

List of positive integer factors of 7304 that divides 7304 without a remainder.

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Greatest Common Factor

We found the factors 504,7304 . The biggest common factor number is the GCF number.
So the greatest common factor 504,7304 is 8.


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 13/504, 7978/7304

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 13/504, 7978/7304?

Answer: LCM of Numerators as per given numbers 13/504, 7978/7304 is

LCM of Numerators i.e. for 13,7978 is 103714

GCF of denominators i.e. for 504,7304 is 8.

Thus, LCM of Fractions is 103714/8.Finally, LCM of Fractions for 13/504, 7978/7304 is 103714/8.