Least Common Multiple of 56/904, 40/794, 752/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/904, 40/794, 752/814 quickly i.e. 13160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/904, 40/794, 752/814 is 13160.

LCM(56/904, 40/794, 752/814) = 13160

LCM of 56/904, 40/794, 752/814

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 56/904,40/794,752/814

Given numbers are 56/904,40/794,752/814

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 56,40,752

Least Common Multiple of Numerators i.e. LCM of 56,40,752 is 26320.

GCF of Denominators means GCF of 904,794,814 as per the given fractions.

GCF of 904,794,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,40,752

LCM of Fractions 56/904,40/794,752/814 is 13160

2 56, 40, 752
2 28, 20, 376
2 14, 10, 188
7, 5, 94

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 94 = 26320

Least Common Multiple of 56,40,752 with GCF Formula

Least Common Multiple of 56,40,752 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 56,40,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,40,752) = 8

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

GCF(56,40,752) x common factors =8 x 8 = 64

LCM(56,40,752) = ( 56 × 40 × 752 ) / 64

LCM(56,40,752) = 1684480 / 64

LCM(56,40,752) = 26320


Lets's calculate GCF of 904,794,814

2 904, 794, 814
452, 397, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26320/2

Therefore the LCM of Fractions 56/904,40/794,752/814 is 13160

Greatest Common Factor of 904,794,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,794,814 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 904,794,814 . The biggest common factor number is the GCF number.
So the greatest common factor 904,794,814 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 56/904, 40/794, 752/814

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 56/904, 40/794, 752/814?

Answer: LCM of Numerators as per given numbers 56/904, 40/794, 752/814 is

LCM of Numerators i.e. for 56,40,752 is 26320

GCF of denominators i.e. for 904,794,814 is 2.

Thus, LCM of Fractions is 13160.Finally, LCM of Fractions for 56/904, 40/794, 752/814 is 13160.