Least Common Multiple of 34/550, 579/792, 740/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/550, 579/792, 740/754 quickly i.e. 3641910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/550, 579/792, 740/754 is 3641910.

LCM(34/550, 579/792, 740/754) = 3641910

LCM of 34/550, 579/792, 740/754

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 34/550,579/792,740/754

Given numbers are 34/550,579/792,740/754

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 34,579,740

Least Common Multiple of Numerators i.e. LCM of 34,579,740 is 7283820.

GCF of Denominators means GCF of 550,792,754 as per the given fractions.

GCF of 550,792,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,579,740

LCM of Fractions 34/550,579/792,740/754 is 3641910

2 34, 579, 740
17, 579, 370

∴ So the LCM of the given numbers is 2 x 17 x 579 x 370 = 7283820

Least Common Multiple of 34,579,740 with GCF Formula

Least Common Multiple of 34,579,740 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 34,579,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,579,740) = 1

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

GCF(34,579,740) x common factors =1 x 2 = 2

LCM(34,579,740) = ( 34 × 579 × 740 ) / 2

LCM(34,579,740) = 14567640 / 2

LCM(34,579,740) = 7283820


Lets's calculate GCF of 550,792,754

2 550, 792, 754
275, 396, 377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7283820/2

Therefore the LCM of Fractions 34/550,579/792,740/754 is 3641910

Greatest Common Factor of 550,792,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,792,754 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 550,792,754 . The biggest common factor number is the GCF number.
So the greatest common factor 550,792,754 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 34/550, 579/792, 740/754

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 34/550, 579/792, 740/754?

Answer: LCM of Numerators as per given numbers 34/550, 579/792, 740/754 is

LCM of Numerators i.e. for 34,579,740 is 7283820

GCF of denominators i.e. for 550,792,754 is 2.

Thus, LCM of Fractions is 3641910.Finally, LCM of Fractions for 34/550, 579/792, 740/754 is 3641910.