Least Common Multiple of 1194/712, 6288/4965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1194/712, 6288/4965 quickly i.e. 1251312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1194/712, 6288/4965 is 1251312.

LCM(1194/712, 6288/4965) = 1251312

LCM of 1194/712, 6288/4965

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 1194/712,6288/4965

Given numbers are 1194/712,6288/4965

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 1194,6288

Least Common Multiple of Numerators i.e. LCM of 1194,6288 is 1251312.

GCF of Denominators means GCF of 712,4965 as per the given fractions.

GCF of 712,4965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1194,6288

LCM of Fractions 1194/712,6288/4965 is 1251312

2 1194, 6288
3 597, 3144
199, 1048

∴ So the LCM of the given numbers is 2 x 3 x 199 x 1048 = 1251312

Least Common Multiple of 1194,6288 with GCF Formula

Least Common Multiple of 1194,6288 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 1194,6288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1194,6288) = 6

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

GCF(1194,6288) x common factors =6 x 1 = 6

LCM(1194,6288) = ( 1194 × 6288 ) / 6

LCM(1194,6288) = 7507872 / 6

LCM(1194,6288) = 1251312


Lets's calculate GCF of 712,4965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1251312/1

Therefore the LCM of Fractions 1194/712,6288/4965 is 1251312

Greatest Common Factor of 712,4965 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,4965 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1,3,5,15,331,993,1655,4965

Greatest Common Factor

We found the factors 712,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 712,4965 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 1194/712, 6288/4965

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 1194/712, 6288/4965?

Answer: LCM of Numerators as per given numbers 1194/712, 6288/4965 is

LCM of Numerators i.e. for 1194,6288 is 1251312

GCF of denominators i.e. for 712,4965 is 1.

Thus, LCM of Fractions is 1251312.Finally, LCM of Fractions for 1194/712, 6288/4965 is 1251312.