Least Common Multiple of 646/346, 383/458, 645/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 646/346, 383/458, 645/764 quickly i.e. 79792305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/346, 383/458, 645/764 is 79792305.

LCM(646/346, 383/458, 645/764) = 79792305

LCM of 646/346, 383/458, 645/764

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 646/346,383/458,645/764

Given numbers are 646/346,383/458,645/764

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 646,383,645

Least Common Multiple of Numerators i.e. LCM of 646,383,645 is 159584610.

GCF of Denominators means GCF of 346,458,764 as per the given fractions.

GCF of 346,458,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,383,645

LCM of Fractions 646/346,383/458,645/764 is 79792305

Given numbers has no common factors except 1. So, there LCM is their product i.e 159584610

Least Common Multiple of 646,383,645 with GCF Formula

Least Common Multiple of 646,383,645 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 646,383,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,383,645) = 1

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

GCF(646,383,645) x common factors =1 x 1 = 1

LCM(646,383,645) = ( 646 × 383 × 645 ) / 1

LCM(646,383,645) = 159584610 / 1

LCM(646,383,645) = 159584610


Lets's calculate GCF of 346,458,764

2 346, 458, 764
173, 229, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159584610/2

Therefore the LCM of Fractions 646/346,383/458,645/764 is 79792305

Greatest Common Factor of 346,458,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,458,764 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 458

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

1,2,229,458

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 346,458,764 . The biggest common factor number is the GCF number.
So the greatest common factor 346,458,764 is 2.


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Frequently Asked Questions on Fractional LCM of 646/346, 383/458, 645/764

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 646/346, 383/458, 645/764?

Answer: LCM of Numerators as per given numbers 646/346, 383/458, 645/764 is

LCM of Numerators i.e. for 646,383,645 is 159584610

GCF of denominators i.e. for 346,458,764 is 2.

Thus, LCM of Fractions is 79792305.Finally, LCM of Fractions for 646/346, 383/458, 645/764 is 79792305.