Least Common Multiple of 4000/672, 5149/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4000/672, 5149/512 quickly i.e. 643625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4000/672, 5149/512 is 643625.

LCM(4000/672, 5149/512) = 643625

LCM of 4000/672, 5149/512

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 4000/672,5149/512

Given numbers are 4000/672,5149/512

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 4000,5149

Least Common Multiple of Numerators i.e. LCM of 4000,5149 is 20596000.

GCF of Denominators means GCF of 672,512 as per the given fractions.

GCF of 672,512 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4000,5149

LCM of Fractions 4000/672,5149/512 is 643625

Given numbers has no common factors except 1. So, there LCM is their product i.e 20596000

Least Common Multiple of 4000,5149 with GCF Formula

Least Common Multiple of 4000,5149 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 4000,5149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4000,5149) = 1

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

GCF(4000,5149) x common factors =1 x 1 = 1

LCM(4000,5149) = ( 4000 × 5149 ) / 1

LCM(4000,5149) = 20596000 / 1

LCM(4000,5149) = 20596000


Lets's calculate GCF of 672,512

2 672, 512
2 336, 256
2 168, 128
2 84, 64
2 42, 32
21, 16

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20596000/32

Therefore the LCM of Fractions 4000/672,5149/512 is 643625

Greatest Common Factor of 672,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,512 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 672,512 . The biggest common factor number is the GCF number.
So the greatest common factor 672,512 is 32.


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 4000/672, 5149/512

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 4000/672, 5149/512?

Answer: LCM of Numerators as per given numbers 4000/672, 5149/512 is

LCM of Numerators i.e. for 4000,5149 is 20596000

GCF of denominators i.e. for 672,512 is 32.

Thus, LCM of Fractions is 643625.Finally, LCM of Fractions for 4000/672, 5149/512 is 643625.