Least Common Multiple of 30/475, 4304/7534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/475, 4304/7534 quickly i.e. 64560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/475, 4304/7534 is 64560.

LCM(30/475, 4304/7534) = 64560

LCM of 30/475, 4304/7534

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 30/475,4304/7534

Given numbers are 30/475,4304/7534

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 30,4304

Least Common Multiple of Numerators i.e. LCM of 30,4304 is 64560.

GCF of Denominators means GCF of 475,7534 as per the given fractions.

GCF of 475,7534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,4304

LCM of Fractions 30/475,4304/7534 is 64560

2 30, 4304
15, 2152

∴ So the LCM of the given numbers is 2 x 15 x 2152 = 64560

Least Common Multiple of 30,4304 with GCF Formula

Least Common Multiple of 30,4304 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 30,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,4304) = 2

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

GCF(30,4304) x common factors =2 x 1 = 2

LCM(30,4304) = ( 30 × 4304 ) / 2

LCM(30,4304) = 129120 / 2

LCM(30,4304) = 64560


Lets's calculate GCF of 475,7534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64560/1

Therefore the LCM of Fractions 30/475,4304/7534 is 64560

Greatest Common Factor of 475,7534 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,7534 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 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1,2,3767,7534

Greatest Common Factor

We found the factors 475,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 475,7534 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 30/475, 4304/7534

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 30/475, 4304/7534?

Answer: LCM of Numerators as per given numbers 30/475, 4304/7534 is

LCM of Numerators i.e. for 30,4304 is 64560

GCF of denominators i.e. for 475,7534 is 1.

Thus, LCM of Fractions is 64560.Finally, LCM of Fractions for 30/475, 4304/7534 is 64560.