Least Common Multiple of 3840/475, 8749/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3840/475, 8749/175 quickly i.e. 33596160/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3840/475, 8749/175 is 33596160/25.

LCM(3840/475, 8749/175) = 33596160/25

LCM of 3840/475, 8749/175

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 3840/475,8749/175

Given numbers are 3840/475,8749/175

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 3840,8749

Least Common Multiple of Numerators i.e. LCM of 3840,8749 is 33596160.

GCF of Denominators means GCF of 475,175 as per the given fractions.

GCF of 475,175 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3840,8749

LCM of Fractions 3840/475,8749/175 is 33596160/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 33596160

Least Common Multiple of 3840,8749 with GCF Formula

Least Common Multiple of 3840,8749 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 3840,8749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3840,8749) = 1

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

GCF(3840,8749) x common factors =1 x 1 = 1

LCM(3840,8749) = ( 3840 × 8749 ) / 1

LCM(3840,8749) = 33596160 / 1

LCM(3840,8749) = 33596160


Lets's calculate GCF of 475,175

5 475, 175
5 95, 35
19, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33596160/25

Therefore the LCM of Fractions 3840/475,8749/175 is 33596160/25

Greatest Common Factor of 475,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,175 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 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 475,175 . The biggest common factor number is the GCF number.
So the greatest common factor 475,175 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 3840/475, 8749/175

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 3840/475, 8749/175?

Answer: LCM of Numerators as per given numbers 3840/475, 8749/175 is

LCM of Numerators i.e. for 3840,8749 is 33596160

GCF of denominators i.e. for 475,175 is 25.

Thus, LCM of Fractions is 33596160/25.Finally, LCM of Fractions for 3840/475, 8749/175 is 33596160/25.