Least Common Multiple of 75/300, 989/152, 383/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/300, 989/152, 383/925 quickly i.e. 28409025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/300, 989/152, 383/925 is 28409025.

LCM(75/300, 989/152, 383/925) = 28409025

LCM of 75/300, 989/152, 383/925

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 75/300,989/152,383/925

Given numbers are 75/300,989/152,383/925

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 75,989,383

Least Common Multiple of Numerators i.e. LCM of 75,989,383 is 28409025.

GCF of Denominators means GCF of 300,152,925 as per the given fractions.

GCF of 300,152,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,989,383

LCM of Fractions 75/300,989/152,383/925 is 28409025

Given numbers has no common factors except 1. So, there LCM is their product i.e 28409025

Least Common Multiple of 75,989,383 with GCF Formula

Least Common Multiple of 75,989,383 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 75,989,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,989,383) = 1

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

GCF(75,989,383) x common factors =1 x 1 = 1

LCM(75,989,383) = ( 75 × 989 × 383 ) / 1

LCM(75,989,383) = 28409025 / 1

LCM(75,989,383) = 28409025


Lets's calculate GCF of 300,152,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28409025/1

Therefore the LCM of Fractions 75/300,989/152,383/925 is 28409025

Greatest Common Factor of 300,152,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,152,925 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 300,152,925 . The biggest common factor number is the GCF number.
So the greatest common factor 300,152,925 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 75/300, 989/152, 383/925

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 75/300, 989/152, 383/925?

Answer: LCM of Numerators as per given numbers 75/300, 989/152, 383/925 is

LCM of Numerators i.e. for 75,989,383 is 28409025

GCF of denominators i.e. for 300,152,925 is 1.

Thus, LCM of Fractions is 28409025.Finally, LCM of Fractions for 75/300, 989/152, 383/925 is 28409025.