Least Common Multiple of 274/74, 584/1040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 274/74, 584/1040 quickly i.e. 40004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 274/74, 584/1040 is 40004.

LCM(274/74, 584/1040) = 40004

LCM of 274/74, 584/1040

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 274/74,584/1040

Given numbers are 274/74,584/1040

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 274,584

Least Common Multiple of Numerators i.e. LCM of 274,584 is 80008.

GCF of Denominators means GCF of 74,1040 as per the given fractions.

GCF of 74,1040 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 274,584

LCM of Fractions 274/74,584/1040 is 40004

2 274, 584
137, 292

∴ So the LCM of the given numbers is 2 x 137 x 292 = 80008

Least Common Multiple of 274,584 with GCF Formula

Least Common Multiple of 274,584 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 274,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,584) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(274,584) x common factors =2 x 1 = 2

LCM(274,584) = ( 274 × 584 ) / 2

LCM(274,584) = 160016 / 2

LCM(274,584) = 80008


Lets's calculate GCF of 74,1040

2 74, 1040
37, 520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80008/2

Therefore the LCM of Fractions 274/74,584/1040 is 40004

Greatest Common Factor of 74,1040 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,1040 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040

Greatest Common Factor

We found the factors 74,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 74,1040 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 274/74, 584/1040

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 274/74, 584/1040?

Answer: LCM of Numerators as per given numbers 274/74, 584/1040 is

LCM of Numerators i.e. for 274,584 is 80008

GCF of denominators i.e. for 74,1040 is 2.

Thus, LCM of Fractions is 40004.Finally, LCM of Fractions for 274/74, 584/1040 is 40004.