Least Common Multiple of 75/14, 656/58, 382/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/14, 656/58, 382/475 quickly i.e. 9397200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/14, 656/58, 382/475 is 9397200.

LCM(75/14, 656/58, 382/475) = 9397200

LCM of 75/14, 656/58, 382/475

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 75/14,656/58,382/475

Given numbers are 75/14,656/58,382/475

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 75,656,382

Least Common Multiple of Numerators i.e. LCM of 75,656,382 is 9397200.

GCF of Denominators means GCF of 14,58,475 as per the given fractions.

GCF of 14,58,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,656,382

LCM of Fractions 75/14,656/58,382/475 is 9397200

2 75, 656, 382
75, 328, 191

∴ So the LCM of the given numbers is 2 x 75 x 328 x 191 = 9397200

Least Common Multiple of 75,656,382 with GCF Formula

Least Common Multiple of 75,656,382 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 75,656,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,656,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(75,656,382) x common factors =1 x 2 = 2

LCM(75,656,382) = ( 75 × 656 × 382 ) / 2

LCM(75,656,382) = 18794400 / 2

LCM(75,656,382) = 9397200


Lets's calculate GCF of 14,58,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9397200/1

Therefore the LCM of Fractions 75/14,656/58,382/475 is 9397200

Greatest Common Factor of 14,58,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,58,475 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 14,58,475 . The biggest common factor number is the GCF number.
So the greatest common factor 14,58,475 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 75/14, 656/58, 382/475

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 75/14, 656/58, 382/475?

Answer: LCM of Numerators as per given numbers 75/14, 656/58, 382/475 is

LCM of Numerators i.e. for 75,656,382 is 9397200

GCF of denominators i.e. for 14,58,475 is 1.

Thus, LCM of Fractions is 9397200.Finally, LCM of Fractions for 75/14, 656/58, 382/475 is 9397200.