Least Common Multiple of 732/749, 574/697, 740/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/749, 574/697, 740/734 quickly i.e. 38865540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/749, 574/697, 740/734 is 38865540.

LCM(732/749, 574/697, 740/734) = 38865540

LCM of 732/749, 574/697, 740/734

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 732/749,574/697,740/734

Given numbers are 732/749,574/697,740/734

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 732,574,740

Least Common Multiple of Numerators i.e. LCM of 732,574,740 is 38865540.

GCF of Denominators means GCF of 749,697,734 as per the given fractions.

GCF of 749,697,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,574,740

LCM of Fractions 732/749,574/697,740/734 is 38865540

2 732, 574, 740
2 366, 287, 370
183, 287, 185

∴ So the LCM of the given numbers is 2 x 2 x 183 x 287 x 185 = 38865540

Least Common Multiple of 732,574,740 with GCF Formula

Least Common Multiple of 732,574,740 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 732,574,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,574,740) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(732,574,740) x common factors =2 x 4 = 8

LCM(732,574,740) = ( 732 × 574 × 740 ) / 8

LCM(732,574,740) = 310924320 / 8

LCM(732,574,740) = 38865540


Lets's calculate GCF of 749,697,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38865540/1

Therefore the LCM of Fractions 732/749,574/697,740/734 is 38865540

Greatest Common Factor of 749,697,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,697,734 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 749,697,734 . The biggest common factor number is the GCF number.
So the greatest common factor 749,697,734 is 1.


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 732/749, 574/697, 740/734

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 732/749, 574/697, 740/734?

Answer: LCM of Numerators as per given numbers 732/749, 574/697, 740/734 is

LCM of Numerators i.e. for 732,574,740 is 38865540

GCF of denominators i.e. for 749,697,734 is 1.

Thus, LCM of Fractions is 38865540.Finally, LCM of Fractions for 732/749, 574/697, 740/734 is 38865540.