Least Common Multiple of 300/89, 876/35, 475/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/89, 876/35, 475/283 quickly i.e. 416100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/89, 876/35, 475/283 is 416100.

LCM(300/89, 876/35, 475/283) = 416100

LCM of 300/89, 876/35, 475/283

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 300/89,876/35,475/283

Given numbers are 300/89,876/35,475/283

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 300,876,475

Least Common Multiple of Numerators i.e. LCM of 300,876,475 is 416100.

GCF of Denominators means GCF of 89,35,283 as per the given fractions.

GCF of 89,35,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,876,475

LCM of Fractions 300/89,876/35,475/283 is 416100

2 300, 876, 475
2 150, 438, 475
3 75, 219, 475
5 25, 73, 475
5 5, 73, 95
1, 73, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 1 x 73 x 19 = 416100

Least Common Multiple of 300,876,475 with GCF Formula

Least Common Multiple of 300,876,475 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 300,876,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,876,475) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(300,876,475) x common factors =1 x 300 = 300

LCM(300,876,475) = ( 300 × 876 × 475 ) / 300

LCM(300,876,475) = 124830000 / 300

LCM(300,876,475) = 416100


Lets's calculate GCF of 89,35,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416100/1

Therefore the LCM of Fractions 300/89,876/35,475/283 is 416100

Greatest Common Factor of 89,35,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,35,283 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 89,35,283 . The biggest common factor number is the GCF number.
So the greatest common factor 89,35,283 is 1.


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 300/89, 876/35, 475/283

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 300/89, 876/35, 475/283?

Answer: LCM of Numerators as per given numbers 300/89, 876/35, 475/283 is

LCM of Numerators i.e. for 300,876,475 is 416100

GCF of denominators i.e. for 89,35,283 is 1.

Thus, LCM of Fractions is 416100.Finally, LCM of Fractions for 300/89, 876/35, 475/283 is 416100.