Least Common Multiple of 464/40, 725/6278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/40, 725/6278 quickly i.e. 5800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/40, 725/6278 is 5800.

LCM(464/40, 725/6278) = 5800

LCM of 464/40, 725/6278

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 464/40,725/6278

Given numbers are 464/40,725/6278

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 464,725

Least Common Multiple of Numerators i.e. LCM of 464,725 is 11600.

GCF of Denominators means GCF of 40,6278 as per the given fractions.

GCF of 40,6278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,725

LCM of Fractions 464/40,725/6278 is 5800

29 464, 725
16, 25

∴ So the LCM of the given numbers is 29 x 16 x 25 = 11600

Least Common Multiple of 464,725 with GCF Formula

Least Common Multiple of 464,725 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 464,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,725) = 29

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

GCF(464,725) x common factors =29 x 1 = 29

LCM(464,725) = ( 464 × 725 ) / 29

LCM(464,725) = 336400 / 29

LCM(464,725) = 11600


Lets's calculate GCF of 40,6278

2 40, 6278
20, 3139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11600/2

Therefore the LCM of Fractions 464/40,725/6278 is 5800

Greatest Common Factor of 40,6278 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,6278 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1,2,43,73,86,146,3139,6278

Greatest Common Factor

We found the factors 40,6278 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6278 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 464/40, 725/6278

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 464/40, 725/6278?

Answer: LCM of Numerators as per given numbers 464/40, 725/6278 is

LCM of Numerators i.e. for 464,725 is 11600

GCF of denominators i.e. for 40,6278 is 2.

Thus, LCM of Fractions is 5800.Finally, LCM of Fractions for 464/40, 725/6278 is 5800.