# Least Common Multiple of 625/336, 1000/625

Know Least Common Multiple of fractions 625/336, 1000/625 quickly i.e. 5000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/336, 1000/625 is 5000.

LCM(625/336, 1000/625) = 5000

## LCM of 625/336, 1000/625

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 625/336,1000/625

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 625,1000

Least Common Multiple of Numerators i.e. LCM of 625,1000 is 5000.

GCF of Denominators means GCF of 336,625 as per the given fractions.

GCF of 336,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,1000

### Least Common Multiple (LCM) of 625,1000 By Common Division

 5 625, 1000 5 125, 200 5 25, 40 5, 8

∴ So the LCM of the given numbers is 5 x 5 x 5 x 5 x 8 = 5000

Least Common Multiple of 625,1000 with GCF Formula

### Least Common Multiple of 625,1000 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 625,1000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,1000) = 125

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

GCF(625,1000) x common factors =125 x 1 = 125

LCM(625,1000) = ( 625 × 1000 ) / 125

LCM(625,1000) = 625000 / 125

LCM(625,1000) = 5000

Lets's calculate GCF of 336,625

### Greatest Common Factor (GCF) of 336,625 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5000/1

Therefore the LCM of Fractions 625/336,1000/625 is 5000

Greatest Common Factor of 336,625 By Matching Biggest Common Factor Method

### Greatest Common Factor of 336,625 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

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

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 336,625 . The biggest common factor number is the GCF number.
So the greatest common factor 336,625 is 1.

### LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

### Frequently Asked Questions on Fractional LCM of 625/336, 1000/625

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 625/336, 1000/625?

Answer: LCM of Numerators as per given numbers 625/336, 1000/625 is

LCM of Numerators i.e. for 625,1000 is 5000

GCF of denominators i.e. for 336,625 is 1.

Thus, LCM of Fractions is 5000.Finally, LCM of Fractions for 625/336, 1000/625 is 5000.