Least Common Multiple of 56/574, 16/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 56/574, 16/504 quickly i.e. 8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/574, 16/504 is 8.

LCM(56/574, 16/504) = 8

LCM of 56/574, 16/504

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 56/574,16/504

Given numbers are 56/574,16/504

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 56,16

Least Common Multiple of Numerators i.e. LCM of 56,16 is 112.

GCF of Denominators means GCF of 574,504 as per the given fractions.

GCF of 574,504 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,16

LCM of Fractions 56/574,16/504 is 8

2 56, 16
2 28, 8
2 14, 4
7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 2 = 112

Least Common Multiple of 56,16 with GCF Formula

Least Common Multiple of 56,16 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 56,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,16) = 8

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

GCF(56,16) x common factors =8 x 1 = 8

LCM(56,16) = ( 56 × 16 ) / 8

LCM(56,16) = 896 / 8

LCM(56,16) = 112


Lets's calculate GCF of 574,504

2 574, 504
7 287, 252
41, 36

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112/14

Therefore the LCM of Fractions 56/574,16/504 is 8

Greatest Common Factor of 574,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,504 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

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 574,504 . The biggest common factor number is the GCF number.
So the greatest common factor 574,504 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 56/574, 16/504

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 56/574, 16/504?

Answer: LCM of Numerators as per given numbers 56/574, 16/504 is

LCM of Numerators i.e. for 56,16 is 112

GCF of denominators i.e. for 574,504 is 14.

Thus, LCM of Fractions is 8.Finally, LCM of Fractions for 56/574, 16/504 is 8.