Least Common Multiple of 475/45, 902/1600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/45, 902/1600 quickly i.e. 85690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/45, 902/1600 is 85690.

LCM(475/45, 902/1600) = 85690

LCM of 475/45, 902/1600

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 475/45,902/1600

Given numbers are 475/45,902/1600

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 475,902

Least Common Multiple of Numerators i.e. LCM of 475,902 is 428450.

GCF of Denominators means GCF of 45,1600 as per the given fractions.

GCF of 45,1600 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,902

LCM of Fractions 475/45,902/1600 is 85690

Given numbers has no common factors except 1. So, there LCM is their product i.e 428450

Least Common Multiple of 475,902 with GCF Formula

Least Common Multiple of 475,902 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 475,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,902) = 1

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

GCF(475,902) x common factors =1 x 1 = 1

LCM(475,902) = ( 475 × 902 ) / 1

LCM(475,902) = 428450 / 1

LCM(475,902) = 428450


Lets's calculate GCF of 45,1600

5 45, 1600
9, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428450/5

Therefore the LCM of Fractions 475/45,902/1600 is 85690

Greatest Common Factor of 45,1600 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1600 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Greatest Common Factor

We found the factors 45,1600 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1600 is 5.


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 475/45, 902/1600

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 475/45, 902/1600?

Answer: LCM of Numerators as per given numbers 475/45, 902/1600 is

LCM of Numerators i.e. for 475,902 is 428450

GCF of denominators i.e. for 45,1600 is 5.

Thus, LCM of Fractions is 85690.Finally, LCM of Fractions for 475/45, 902/1600 is 85690.