Least Common Multiple of 75/631, 392/871, 351/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/631, 392/871, 351/904 quickly i.e. 3439800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/631, 392/871, 351/904 is 3439800.

LCM(75/631, 392/871, 351/904) = 3439800

LCM of 75/631, 392/871, 351/904

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 75/631,392/871,351/904

Given numbers are 75/631,392/871,351/904

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 75,392,351

Least Common Multiple of Numerators i.e. LCM of 75,392,351 is 3439800.

GCF of Denominators means GCF of 631,871,904 as per the given fractions.

GCF of 631,871,904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,392,351

LCM of Fractions 75/631,392/871,351/904 is 3439800

3 75, 392, 351
25, 392, 117

∴ So the LCM of the given numbers is 3 x 25 x 392 x 117 = 3439800

Least Common Multiple of 75,392,351 with GCF Formula

Least Common Multiple of 75,392,351 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 75,392,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,392,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,392,351) x common factors =1 x 3 = 3

LCM(75,392,351) = ( 75 × 392 × 351 ) / 3

LCM(75,392,351) = 10319400 / 3

LCM(75,392,351) = 3439800


Lets's calculate GCF of 631,871,904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3439800/1

Therefore the LCM of Fractions 75/631,392/871,351/904 is 3439800

Greatest Common Factor of 631,871,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,871,904 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 631,871,904 . The biggest common factor number is the GCF number.
So the greatest common factor 631,871,904 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 75/631, 392/871, 351/904

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 75/631, 392/871, 351/904?

Answer: LCM of Numerators as per given numbers 75/631, 392/871, 351/904 is

LCM of Numerators i.e. for 75,392,351 is 3439800

GCF of denominators i.e. for 631,871,904 is 1.

Thus, LCM of Fractions is 3439800.Finally, LCM of Fractions for 75/631, 392/871, 351/904 is 3439800.