Least Common Multiple of 676/458, 475/787, 129/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 676/458, 475/787, 129/320 quickly i.e. 41421900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/458, 475/787, 129/320 is 41421900.

LCM(676/458, 475/787, 129/320) = 41421900

LCM of 676/458, 475/787, 129/320

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 676/458,475/787,129/320

Given numbers are 676/458,475/787,129/320

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 676,475,129

Least Common Multiple of Numerators i.e. LCM of 676,475,129 is 41421900.

GCF of Denominators means GCF of 458,787,320 as per the given fractions.

GCF of 458,787,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,475,129

LCM of Fractions 676/458,475/787,129/320 is 41421900

Given numbers has no common factors except 1. So, there LCM is their product i.e 41421900

Least Common Multiple of 676,475,129 with GCF Formula

Least Common Multiple of 676,475,129 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 676,475,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,475,129) = 1

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

GCF(676,475,129) x common factors =1 x 1 = 1

LCM(676,475,129) = ( 676 × 475 × 129 ) / 1

LCM(676,475,129) = 41421900 / 1

LCM(676,475,129) = 41421900


Lets's calculate GCF of 458,787,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41421900/1

Therefore the LCM of Fractions 676/458,475/787,129/320 is 41421900

Greatest Common Factor of 458,787,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,787,320 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 458,787,320 . The biggest common factor number is the GCF number.
So the greatest common factor 458,787,320 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 676/458, 475/787, 129/320

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 676/458, 475/787, 129/320?

Answer: LCM of Numerators as per given numbers 676/458, 475/787, 129/320 is

LCM of Numerators i.e. for 676,475,129 is 41421900

GCF of denominators i.e. for 458,787,320 is 1.

Thus, LCM of Fractions is 41421900.Finally, LCM of Fractions for 676/458, 475/787, 129/320 is 41421900.