Least Common Multiple of 4302/469, 4999/8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4302/469, 4999/8004 quickly i.e. 21505698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4302/469, 4999/8004 is 21505698.

LCM(4302/469, 4999/8004) = 21505698

LCM of 4302/469, 4999/8004

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 4302/469,4999/8004

Given numbers are 4302/469,4999/8004

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 4302,4999

Least Common Multiple of Numerators i.e. LCM of 4302,4999 is 21505698.

GCF of Denominators means GCF of 469,8004 as per the given fractions.

GCF of 469,8004 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4302,4999

LCM of Fractions 4302/469,4999/8004 is 21505698

Given numbers has no common factors except 1. So, there LCM is their product i.e 21505698

Least Common Multiple of 4302,4999 with GCF Formula

Least Common Multiple of 4302,4999 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 4302,4999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4302,4999) = 1

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

GCF(4302,4999) x common factors =1 x 1 = 1

LCM(4302,4999) = ( 4302 × 4999 ) / 1

LCM(4302,4999) = 21505698 / 1

LCM(4302,4999) = 21505698


Lets's calculate GCF of 469,8004

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21505698/1

Therefore the LCM of Fractions 4302/469,4999/8004 is 21505698

Greatest Common Factor of 469,8004 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,8004 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 469,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 469,8004 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4302/469, 4999/8004

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 4302/469, 4999/8004?

Answer: LCM of Numerators as per given numbers 4302/469, 4999/8004 is

LCM of Numerators i.e. for 4302,4999 is 21505698

GCF of denominators i.e. for 469,8004 is 1.

Thus, LCM of Fractions is 21505698.Finally, LCM of Fractions for 4302/469, 4999/8004 is 21505698.