Least Common Multiple of 7488/778, 5029/5322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7488/778, 5029/5322 quickly i.e. 18828576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7488/778, 5029/5322 is 18828576.

LCM(7488/778, 5029/5322) = 18828576

LCM of 7488/778, 5029/5322

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 7488/778,5029/5322

Given numbers are 7488/778,5029/5322

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 7488,5029

Least Common Multiple of Numerators i.e. LCM of 7488,5029 is 37657152.

GCF of Denominators means GCF of 778,5322 as per the given fractions.

GCF of 778,5322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7488,5029

LCM of Fractions 7488/778,5029/5322 is 18828576

Given numbers has no common factors except 1. So, there LCM is their product i.e 37657152

Least Common Multiple of 7488,5029 with GCF Formula

Least Common Multiple of 7488,5029 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 7488,5029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7488,5029) = 1

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

GCF(7488,5029) x common factors =1 x 1 = 1

LCM(7488,5029) = ( 7488 × 5029 ) / 1

LCM(7488,5029) = 37657152 / 1

LCM(7488,5029) = 37657152


Lets's calculate GCF of 778,5322

2 778, 5322
389, 2661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37657152/2

Therefore the LCM of Fractions 7488/778,5029/5322 is 18828576

Greatest Common Factor of 778,5322 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,5322 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors 778,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 778,5322 is 2.


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 7488/778, 5029/5322

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 7488/778, 5029/5322?

Answer: LCM of Numerators as per given numbers 7488/778, 5029/5322 is

LCM of Numerators i.e. for 7488,5029 is 37657152

GCF of denominators i.e. for 778,5322 is 2.

Thus, LCM of Fractions is 18828576.Finally, LCM of Fractions for 7488/778, 5029/5322 is 18828576.