Least Common Multiple of 704/440, 6616/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/440, 6616/504 quickly i.e. 72776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/440, 6616/504 is 72776.

LCM(704/440, 6616/504) = 72776

LCM of 704/440, 6616/504

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 704/440,6616/504

Given numbers are 704/440,6616/504

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 704,6616

Least Common Multiple of Numerators i.e. LCM of 704,6616 is 582208.

GCF of Denominators means GCF of 440,504 as per the given fractions.

GCF of 440,504 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,6616

LCM of Fractions 704/440,6616/504 is 72776

2 704, 6616
2 352, 3308
2 176, 1654
88, 827

∴ So the LCM of the given numbers is 2 x 2 x 2 x 88 x 827 = 582208

Least Common Multiple of 704,6616 with GCF Formula

Least Common Multiple of 704,6616 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 704,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,6616) = 8

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

GCF(704,6616) x common factors =8 x 1 = 8

LCM(704,6616) = ( 704 × 6616 ) / 8

LCM(704,6616) = 4657664 / 8

LCM(704,6616) = 582208


Lets's calculate GCF of 440,504

2 440, 504
2 220, 252
2 110, 126
55, 63

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 582208/8

Therefore the LCM of Fractions 704/440,6616/504 is 72776

Greatest Common Factor of 440,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,504 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

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 440,504 . The biggest common factor number is the GCF number.
So the greatest common factor 440,504 is 8.


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 704/440, 6616/504

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 704/440, 6616/504?

Answer: LCM of Numerators as per given numbers 704/440, 6616/504 is

LCM of Numerators i.e. for 704,6616 is 582208

GCF of denominators i.e. for 440,504 is 8.

Thus, LCM of Fractions is 72776.Finally, LCM of Fractions for 704/440, 6616/504 is 72776.