Least Common Multiple of 300/93, 145/88, 574/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/93, 145/88, 574/524 quickly i.e. 2496900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/93, 145/88, 574/524 is 2496900.

LCM(300/93, 145/88, 574/524) = 2496900

LCM of 300/93, 145/88, 574/524

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 300/93,145/88,574/524

Given numbers are 300/93,145/88,574/524

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 300,145,574

Least Common Multiple of Numerators i.e. LCM of 300,145,574 is 2496900.

GCF of Denominators means GCF of 93,88,524 as per the given fractions.

GCF of 93,88,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,145,574

LCM of Fractions 300/93,145/88,574/524 is 2496900

2 300, 145, 574
5 150, 145, 287
30, 29, 287

∴ So the LCM of the given numbers is 2 x 5 x 30 x 29 x 287 = 2496900

Least Common Multiple of 300,145,574 with GCF Formula

Least Common Multiple of 300,145,574 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 300,145,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,145,574) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(300,145,574) x common factors =1 x 10 = 10

LCM(300,145,574) = ( 300 × 145 × 574 ) / 10

LCM(300,145,574) = 24969000 / 10

LCM(300,145,574) = 2496900


Lets's calculate GCF of 93,88,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2496900/1

Therefore the LCM of Fractions 300/93,145/88,574/524 is 2496900

Greatest Common Factor of 93,88,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,88,524 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 93,88,524 . The biggest common factor number is the GCF number.
So the greatest common factor 93,88,524 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 300/93, 145/88, 574/524

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 300/93, 145/88, 574/524?

Answer: LCM of Numerators as per given numbers 300/93, 145/88, 574/524 is

LCM of Numerators i.e. for 300,145,574 is 2496900

GCF of denominators i.e. for 93,88,524 is 1.

Thus, LCM of Fractions is 2496900.Finally, LCM of Fractions for 300/93, 145/88, 574/524 is 2496900.