Least Common Multiple of 75/873, 76/577, 475/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/873, 76/577, 475/315 quickly i.e. 5700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/873, 76/577, 475/315 is 5700.

LCM(75/873, 76/577, 475/315) = 5700

LCM of 75/873, 76/577, 475/315

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 75/873,76/577,475/315

Given numbers are 75/873,76/577,475/315

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 75,76,475

Least Common Multiple of Numerators i.e. LCM of 75,76,475 is 5700.

GCF of Denominators means GCF of 873,577,315 as per the given fractions.

GCF of 873,577,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,76,475

LCM of Fractions 75/873,76/577,475/315 is 5700

5 75, 76, 475
5 15, 76, 95
19 3, 76, 19
3, 4, 1

∴ So the LCM of the given numbers is 5 x 5 x 19 x 3 x 4 x 1 = 5700

Least Common Multiple of 75,76,475 with GCF Formula

Least Common Multiple of 75,76,475 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 75,76,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,76,475) = 1

common factors(in case of two or more numbers have common factors) = 475

GCF(75,76,475) x common factors =1 x 475 = 475

LCM(75,76,475) = ( 75 × 76 × 475 ) / 475

LCM(75,76,475) = 2707500 / 475

LCM(75,76,475) = 5700


Lets's calculate GCF of 873,577,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700/1

Therefore the LCM of Fractions 75/873,76/577,475/315 is 5700

Greatest Common Factor of 873,577,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,577,315 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 873,577,315 . The biggest common factor number is the GCF number.
So the greatest common factor 873,577,315 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 75/873, 76/577, 475/315

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 75/873, 76/577, 475/315?

Answer: LCM of Numerators as per given numbers 75/873, 76/577, 475/315 is

LCM of Numerators i.e. for 75,76,475 is 5700

GCF of denominators i.e. for 873,577,315 is 1.

Thus, LCM of Fractions is 5700.Finally, LCM of Fractions for 75/873, 76/577, 475/315 is 5700.