Least Common Multiple of 59/360, 43/364, 129/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/360, 43/364, 129/672 quickly i.e. 7611/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/360, 43/364, 129/672 is 7611/4.

LCM(59/360, 43/364, 129/672) = 7611/4

LCM of 59/360, 43/364, 129/672

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 59/360,43/364,129/672

Given numbers are 59/360,43/364,129/672

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 59,43,129

Least Common Multiple of Numerators i.e. LCM of 59,43,129 is 7611.

GCF of Denominators means GCF of 360,364,672 as per the given fractions.

GCF of 360,364,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,43,129

LCM of Fractions 59/360,43/364,129/672 is 7611/4

43 59, 43, 129
59, 1, 3

∴ So the LCM of the given numbers is 43 x 59 x 1 x 3 = 7611

Least Common Multiple of 59,43,129 with GCF Formula

Least Common Multiple of 59,43,129 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 59,43,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,43,129) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(59,43,129) x common factors =1 x 43 = 43

LCM(59,43,129) = ( 59 × 43 × 129 ) / 43

LCM(59,43,129) = 327273 / 43

LCM(59,43,129) = 7611


Lets's calculate GCF of 360,364,672

2 360, 364, 672
2 180, 182, 336
90, 91, 168

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7611/4

Therefore the LCM of Fractions 59/360,43/364,129/672 is 7611/4

Greatest Common Factor of 360,364,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,364,672 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 360,364,672 . The biggest common factor number is the GCF number.
So the greatest common factor 360,364,672 is 4.


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 59/360, 43/364, 129/672

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 59/360, 43/364, 129/672?

Answer: LCM of Numerators as per given numbers 59/360, 43/364, 129/672 is

LCM of Numerators i.e. for 59,43,129 is 7611

GCF of denominators i.e. for 360,364,672 is 4.

Thus, LCM of Fractions is 7611/4.Finally, LCM of Fractions for 59/360, 43/364, 129/672 is 7611/4.