Least Common Multiple of 704/72, 745/60, 534/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 704/72, 745/60, 534/881 quickly i.e. 140036160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/72, 745/60, 534/881 is 140036160.

LCM(704/72, 745/60, 534/881) = 140036160

LCM of 704/72, 745/60, 534/881

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 704/72,745/60,534/881

Given numbers are 704/72,745/60,534/881

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 704,745,534

Least Common Multiple of Numerators i.e. LCM of 704,745,534 is 140036160.

GCF of Denominators means GCF of 72,60,881 as per the given fractions.

GCF of 72,60,881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,745,534

LCM of Fractions 704/72,745/60,534/881 is 140036160

2 704, 745, 534
352, 745, 267

∴ So the LCM of the given numbers is 2 x 352 x 745 x 267 = 140036160

Least Common Multiple of 704,745,534 with GCF Formula

Least Common Multiple of 704,745,534 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 704,745,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,745,534) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(704,745,534) x common factors =1 x 2 = 2

LCM(704,745,534) = ( 704 × 745 × 534 ) / 2

LCM(704,745,534) = 280072320 / 2

LCM(704,745,534) = 140036160


Lets's calculate GCF of 72,60,881

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140036160/1

Therefore the LCM of Fractions 704/72,745/60,534/881 is 140036160

Greatest Common Factor of 72,60,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,60,881 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 72,60,881 . The biggest common factor number is the GCF number.
So the greatest common factor 72,60,881 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 704/72, 745/60, 534/881

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 704/72, 745/60, 534/881?

Answer: LCM of Numerators as per given numbers 704/72, 745/60, 534/881 is

LCM of Numerators i.e. for 704,745,534 is 140036160

GCF of denominators i.e. for 72,60,881 is 1.

Thus, LCM of Fractions is 140036160.Finally, LCM of Fractions for 704/72, 745/60, 534/881 is 140036160.