Least Common Multiple of 616/271, 675/751, 824/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/271, 675/751, 824/504 quickly i.e. 42827400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/271, 675/751, 824/504 is 42827400.

LCM(616/271, 675/751, 824/504) = 42827400

LCM of 616/271, 675/751, 824/504

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 616/271,675/751,824/504

Given numbers are 616/271,675/751,824/504

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 616,675,824

Least Common Multiple of Numerators i.e. LCM of 616,675,824 is 42827400.

GCF of Denominators means GCF of 271,751,504 as per the given fractions.

GCF of 271,751,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,675,824

LCM of Fractions 616/271,675/751,824/504 is 42827400

2 616, 675, 824
2 308, 675, 412
2 154, 675, 206
77, 675, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 675 x 103 = 42827400

Least Common Multiple of 616,675,824 with GCF Formula

Least Common Multiple of 616,675,824 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 616,675,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,675,824) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(616,675,824) x common factors =1 x 8 = 8

LCM(616,675,824) = ( 616 × 675 × 824 ) / 8

LCM(616,675,824) = 342619200 / 8

LCM(616,675,824) = 42827400


Lets's calculate GCF of 271,751,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42827400/1

Therefore the LCM of Fractions 616/271,675/751,824/504 is 42827400

Greatest Common Factor of 271,751,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,751,504 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

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

Greatest Common Factor

We found the factors 271,751,504 . The biggest common factor number is the GCF number.
So the greatest common factor 271,751,504 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 616/271, 675/751, 824/504

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 616/271, 675/751, 824/504?

Answer: LCM of Numerators as per given numbers 616/271, 675/751, 824/504 is

LCM of Numerators i.e. for 616,675,824 is 42827400

GCF of denominators i.e. for 271,751,504 is 1.

Thus, LCM of Fractions is 42827400.Finally, LCM of Fractions for 616/271, 675/751, 824/504 is 42827400.