Least Common Multiple of 6885/504, 1025/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6885/504, 1025/588 quickly i.e. 1411425/84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6885/504, 1025/588 is 1411425/84.

LCM(6885/504, 1025/588) = 1411425/84

LCM of 6885/504, 1025/588

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 6885/504,1025/588

Given numbers are 6885/504,1025/588

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 6885,1025

Least Common Multiple of Numerators i.e. LCM of 6885,1025 is 1411425.

GCF of Denominators means GCF of 504,588 as per the given fractions.

GCF of 504,588 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6885,1025

LCM of Fractions 6885/504,1025/588 is 1411425/84

5 6885, 1025
1377, 205

∴ So the LCM of the given numbers is 5 x 1377 x 205 = 1411425

Least Common Multiple of 6885,1025 with GCF Formula

Least Common Multiple of 6885,1025 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 6885,1025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6885,1025) = 5

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

GCF(6885,1025) x common factors =5 x 1 = 5

LCM(6885,1025) = ( 6885 × 1025 ) / 5

LCM(6885,1025) = 7057125 / 5

LCM(6885,1025) = 1411425


Lets's calculate GCF of 504,588

2 504, 588
2 252, 294
3 126, 147
7 42, 49
6, 7

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1411425/84

Therefore the LCM of Fractions 6885/504,1025/588 is 1411425/84

Greatest Common Factor of 504,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,588 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 504,588 . The biggest common factor number is the GCF number.
So the greatest common factor 504,588 is 84.


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 6885/504, 1025/588

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 6885/504, 1025/588?

Answer: LCM of Numerators as per given numbers 6885/504, 1025/588 is

LCM of Numerators i.e. for 6885,1025 is 1411425

GCF of denominators i.e. for 504,588 is 84.

Thus, LCM of Fractions is 1411425/84.Finally, LCM of Fractions for 6885/504, 1025/588 is 1411425/84.