Least Common Multiple of 34/240, 144/584, 984/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/240, 144/584, 984/734 quickly i.e. 50184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/240, 144/584, 984/734 is 50184.

LCM(34/240, 144/584, 984/734) = 50184

LCM of 34/240, 144/584, 984/734

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 34/240,144/584,984/734

Given numbers are 34/240,144/584,984/734

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 34,144,984

Least Common Multiple of Numerators i.e. LCM of 34,144,984 is 100368.

GCF of Denominators means GCF of 240,584,734 as per the given fractions.

GCF of 240,584,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,144,984

LCM of Fractions 34/240,144/584,984/734 is 50184

2 34, 144, 984
2 17, 72, 492
2 17, 36, 246
3 17, 18, 123
17, 6, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 6 x 41 = 100368

Least Common Multiple of 34,144,984 with GCF Formula

Least Common Multiple of 34,144,984 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 34,144,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,144,984) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(34,144,984) x common factors =2 x 24 = 48

LCM(34,144,984) = ( 34 × 144 × 984 ) / 48

LCM(34,144,984) = 4817664 / 48

LCM(34,144,984) = 100368


Lets's calculate GCF of 240,584,734

2 240, 584, 734
120, 292, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100368/2

Therefore the LCM of Fractions 34/240,144/584,984/734 is 50184

Greatest Common Factor of 240,584,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,584,734 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

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 240,584,734 . The biggest common factor number is the GCF number.
So the greatest common factor 240,584,734 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 34/240, 144/584, 984/734

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 34/240, 144/584, 984/734?

Answer: LCM of Numerators as per given numbers 34/240, 144/584, 984/734 is

LCM of Numerators i.e. for 34,144,984 is 100368

GCF of denominators i.e. for 240,584,734 is 2.

Thus, LCM of Fractions is 50184.Finally, LCM of Fractions for 34/240, 144/584, 984/734 is 50184.