Least Common Multiple of 558/726, 164/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/726, 164/792 quickly i.e. 45756/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/726, 164/792 is 45756/66.

LCM(558/726, 164/792) = 45756/66

LCM of 558/726, 164/792

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 558/726,164/792

Given numbers are 558/726,164/792

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 558,164

Least Common Multiple of Numerators i.e. LCM of 558,164 is 45756.

GCF of Denominators means GCF of 726,792 as per the given fractions.

GCF of 726,792 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,164

LCM of Fractions 558/726,164/792 is 45756/66

2 558, 164
279, 82

∴ So the LCM of the given numbers is 2 x 279 x 82 = 45756

Least Common Multiple of 558,164 with GCF Formula

Least Common Multiple of 558,164 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 558,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,164) = 2

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

GCF(558,164) x common factors =2 x 1 = 2

LCM(558,164) = ( 558 × 164 ) / 2

LCM(558,164) = 91512 / 2

LCM(558,164) = 45756


Lets's calculate GCF of 726,792

2 726, 792
3 363, 396
11 121, 132
11, 12

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45756/66

Therefore the LCM of Fractions 558/726,164/792 is 45756/66

Greatest Common Factor of 726,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,792 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 726,792 . The biggest common factor number is the GCF number.
So the greatest common factor 726,792 is 66.


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 558/726, 164/792

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 558/726, 164/792?

Answer: LCM of Numerators as per given numbers 558/726, 164/792 is

LCM of Numerators i.e. for 558,164 is 45756

GCF of denominators i.e. for 726,792 is 66.

Thus, LCM of Fractions is 45756/66.Finally, LCM of Fractions for 558/726, 164/792 is 45756/66.