Least Common Multiple of 4007/418, 4079/8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4007/418, 4079/8480 quickly i.e. 16344553/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4007/418, 4079/8480 is 16344553/2.

LCM(4007/418, 4079/8480) = 16344553/2

LCM of 4007/418, 4079/8480

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 4007/418,4079/8480

Given numbers are 4007/418,4079/8480

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 4007,4079

Least Common Multiple of Numerators i.e. LCM of 4007,4079 is 16344553.

GCF of Denominators means GCF of 418,8480 as per the given fractions.

GCF of 418,8480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4007,4079

LCM of Fractions 4007/418,4079/8480 is 16344553/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16344553

Least Common Multiple of 4007,4079 with GCF Formula

Least Common Multiple of 4007,4079 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 4007,4079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4007,4079) = 1

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

GCF(4007,4079) x common factors =1 x 1 = 1

LCM(4007,4079) = ( 4007 × 4079 ) / 1

LCM(4007,4079) = 16344553 / 1

LCM(4007,4079) = 16344553


Lets's calculate GCF of 418,8480

2 418, 8480
209, 4240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16344553/2

Therefore the LCM of Fractions 4007/418,4079/8480 is 16344553/2

Greatest Common Factor of 418,8480 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,8480 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480

Greatest Common Factor

We found the factors 418,8480 . The biggest common factor number is the GCF number.
So the greatest common factor 418,8480 is 2.


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 4007/418, 4079/8480

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 4007/418, 4079/8480?

Answer: LCM of Numerators as per given numbers 4007/418, 4079/8480 is

LCM of Numerators i.e. for 4007,4079 is 16344553

GCF of denominators i.e. for 418,8480 is 2.

Thus, LCM of Fractions is 16344553/2.Finally, LCM of Fractions for 4007/418, 4079/8480 is 16344553/2.