Least Common Multiple of 597/504, 8840/3144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/504, 8840/3144 quickly i.e. 219895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/504, 8840/3144 is 219895.

LCM(597/504, 8840/3144) = 219895

LCM of 597/504, 8840/3144

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 597/504,8840/3144

Given numbers are 597/504,8840/3144

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 597,8840

Least Common Multiple of Numerators i.e. LCM of 597,8840 is 5277480.

GCF of Denominators means GCF of 504,3144 as per the given fractions.

GCF of 504,3144 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,8840

LCM of Fractions 597/504,8840/3144 is 219895

Given numbers has no common factors except 1. So, there LCM is their product i.e 5277480

Least Common Multiple of 597,8840 with GCF Formula

Least Common Multiple of 597,8840 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 597,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,8840) = 1

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

GCF(597,8840) x common factors =1 x 1 = 1

LCM(597,8840) = ( 597 × 8840 ) / 1

LCM(597,8840) = 5277480 / 1

LCM(597,8840) = 5277480


Lets's calculate GCF of 504,3144

2 504, 3144
2 252, 1572
2 126, 786
3 63, 393
21, 131

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5277480/24

Therefore the LCM of Fractions 597/504,8840/3144 is 219895

Greatest Common Factor of 504,3144 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,3144 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 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144

Greatest Common Factor

We found the factors 504,3144 . The biggest common factor number is the GCF number.
So the greatest common factor 504,3144 is 24.


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 597/504, 8840/3144

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 597/504, 8840/3144?

Answer: LCM of Numerators as per given numbers 597/504, 8840/3144 is

LCM of Numerators i.e. for 597,8840 is 5277480

GCF of denominators i.e. for 504,3144 is 24.

Thus, LCM of Fractions is 219895.Finally, LCM of Fractions for 597/504, 8840/3144 is 219895.