Least Common Multiple of 40/52, 56/18, 416/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/52, 56/18, 416/592 quickly i.e. 7280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/52, 56/18, 416/592 is 7280.

LCM(40/52, 56/18, 416/592) = 7280

LCM of 40/52, 56/18, 416/592

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 40/52,56/18,416/592

Given numbers are 40/52,56/18,416/592

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 40,56,416

Least Common Multiple of Numerators i.e. LCM of 40,56,416 is 14560.

GCF of Denominators means GCF of 52,18,592 as per the given fractions.

GCF of 52,18,592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,56,416

LCM of Fractions 40/52,56/18,416/592 is 7280

2 40, 56, 416
2 20, 28, 208
2 10, 14, 104
5, 7, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 52 = 14560

Least Common Multiple of 40,56,416 with GCF Formula

Least Common Multiple of 40,56,416 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 40,56,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,56,416) = 8

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

GCF(40,56,416) x common factors =8 x 8 = 64

LCM(40,56,416) = ( 40 × 56 × 416 ) / 64

LCM(40,56,416) = 931840 / 64

LCM(40,56,416) = 14560


Lets's calculate GCF of 52,18,592

2 52, 18, 592
26, 9, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14560/2

Therefore the LCM of Fractions 40/52,56/18,416/592 is 7280

Greatest Common Factor of 52,18,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,18,592 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 52,18,592 . The biggest common factor number is the GCF number.
So the greatest common factor 52,18,592 is 2.


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 40/52, 56/18, 416/592

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 40/52, 56/18, 416/592?

Answer: LCM of Numerators as per given numbers 40/52, 56/18, 416/592 is

LCM of Numerators i.e. for 40,56,416 is 14560

GCF of denominators i.e. for 52,18,592 is 2.

Thus, LCM of Fractions is 7280.Finally, LCM of Fractions for 40/52, 56/18, 416/592 is 7280.