Least Common Multiple of 412/475, 175/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/475, 175/200 quickly i.e. 2884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/475, 175/200 is 2884.

LCM(412/475, 175/200) = 2884

LCM of 412/475, 175/200

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 412/475,175/200

Given numbers are 412/475,175/200

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 412,175

Least Common Multiple of Numerators i.e. LCM of 412,175 is 72100.

GCF of Denominators means GCF of 475,200 as per the given fractions.

GCF of 475,200 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,175

LCM of Fractions 412/475,175/200 is 2884

Given numbers has no common factors except 1. So, there LCM is their product i.e 72100

Least Common Multiple of 412,175 with GCF Formula

Least Common Multiple of 412,175 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 412,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,175) = 1

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

GCF(412,175) x common factors =1 x 1 = 1

LCM(412,175) = ( 412 × 175 ) / 1

LCM(412,175) = 72100 / 1

LCM(412,175) = 72100


Lets's calculate GCF of 475,200

5 475, 200
5 95, 40
19, 8

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72100/25

Therefore the LCM of Fractions 412/475,175/200 is 2884

Greatest Common Factor of 475,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,200 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 475,200 . The biggest common factor number is the GCF number.
So the greatest common factor 475,200 is 25.


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 412/475, 175/200

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 412/475, 175/200?

Answer: LCM of Numerators as per given numbers 412/475, 175/200 is

LCM of Numerators i.e. for 412,175 is 72100

GCF of denominators i.e. for 475,200 is 25.

Thus, LCM of Fractions is 2884.Finally, LCM of Fractions for 412/475, 175/200 is 2884.