Least Common Multiple of 534/904, 561/800, 677/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/904, 561/800, 677/440 quickly i.e. 67603866/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/904, 561/800, 677/440 is 67603866/8.

LCM(534/904, 561/800, 677/440) = 67603866/8

LCM of 534/904, 561/800, 677/440

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 534/904,561/800,677/440

Given numbers are 534/904,561/800,677/440

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 534,561,677

Least Common Multiple of Numerators i.e. LCM of 534,561,677 is 67603866.

GCF of Denominators means GCF of 904,800,440 as per the given fractions.

GCF of 904,800,440 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,561,677

LCM of Fractions 534/904,561/800,677/440 is 67603866/8

3 534, 561, 677
178, 187, 677

∴ So the LCM of the given numbers is 3 x 178 x 187 x 677 = 67603866

Least Common Multiple of 534,561,677 with GCF Formula

Least Common Multiple of 534,561,677 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 534,561,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,561,677) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(534,561,677) x common factors =1 x 3 = 3

LCM(534,561,677) = ( 534 × 561 × 677 ) / 3

LCM(534,561,677) = 202811598 / 3

LCM(534,561,677) = 67603866


Lets's calculate GCF of 904,800,440

2 904, 800, 440
2 452, 400, 220
2 226, 200, 110
113, 100, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67603866/8

Therefore the LCM of Fractions 534/904,561/800,677/440 is 67603866/8

Greatest Common Factor of 904,800,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,800,440 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 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

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

Greatest Common Factor

We found the factors 904,800,440 . The biggest common factor number is the GCF number.
So the greatest common factor 904,800,440 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 534/904, 561/800, 677/440

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 534/904, 561/800, 677/440?

Answer: LCM of Numerators as per given numbers 534/904, 561/800, 677/440 is

LCM of Numerators i.e. for 534,561,677 is 67603866

GCF of denominators i.e. for 904,800,440 is 8.

Thus, LCM of Fractions is 67603866/8.Finally, LCM of Fractions for 534/904, 561/800, 677/440 is 67603866/8.