Least Common Multiple of 4639/662, 6523/4044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4639/662, 6523/4044 quickly i.e. 30260197/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4639/662, 6523/4044 is 30260197/2.

LCM(4639/662, 6523/4044) = 30260197/2

LCM of 4639/662, 6523/4044

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 4639/662,6523/4044

Given numbers are 4639/662,6523/4044

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 4639,6523

Least Common Multiple of Numerators i.e. LCM of 4639,6523 is 30260197.

GCF of Denominators means GCF of 662,4044 as per the given fractions.

GCF of 662,4044 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4639,6523

LCM of Fractions 4639/662,6523/4044 is 30260197/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 30260197

Least Common Multiple of 4639,6523 with GCF Formula

Least Common Multiple of 4639,6523 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 4639,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4639,6523) = 1

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

GCF(4639,6523) x common factors =1 x 1 = 1

LCM(4639,6523) = ( 4639 × 6523 ) / 1

LCM(4639,6523) = 30260197 / 1

LCM(4639,6523) = 30260197


Lets's calculate GCF of 662,4044

2 662, 4044
331, 2022

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30260197/2

Therefore the LCM of Fractions 4639/662,6523/4044 is 30260197/2

Greatest Common Factor of 662,4044 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,4044 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1,2,3,4,6,12,337,674,1011,1348,2022,4044

Greatest Common Factor

We found the factors 662,4044 . The biggest common factor number is the GCF number.
So the greatest common factor 662,4044 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4639/662, 6523/4044

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 4639/662, 6523/4044?

Answer: LCM of Numerators as per given numbers 4639/662, 6523/4044 is

LCM of Numerators i.e. for 4639,6523 is 30260197

GCF of denominators i.e. for 662,4044 is 2.

Thus, LCM of Fractions is 30260197/2.Finally, LCM of Fractions for 4639/662, 6523/4044 is 30260197/2.