Least Common Multiple of 559/46, 760/46, 274/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 559/46, 760/46, 274/278 quickly i.e. 29101540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 559/46, 760/46, 274/278 is 29101540.

LCM(559/46, 760/46, 274/278) = 29101540

LCM of 559/46, 760/46, 274/278

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 559/46,760/46,274/278

Given numbers are 559/46,760/46,274/278

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 559,760,274

Least Common Multiple of Numerators i.e. LCM of 559,760,274 is 58203080.

GCF of Denominators means GCF of 46,46,278 as per the given fractions.

GCF of 46,46,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 559,760,274

LCM of Fractions 559/46,760/46,274/278 is 29101540

2 559, 760, 274
559, 380, 137

∴ So the LCM of the given numbers is 2 x 559 x 380 x 137 = 58203080

Least Common Multiple of 559,760,274 with GCF Formula

Least Common Multiple of 559,760,274 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 559,760,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,760,274) = 1

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

GCF(559,760,274) x common factors =1 x 2 = 2

LCM(559,760,274) = ( 559 × 760 × 274 ) / 2

LCM(559,760,274) = 116406160 / 2

LCM(559,760,274) = 58203080


Lets's calculate GCF of 46,46,278

2 46, 46, 278
23, 23, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58203080/2

Therefore the LCM of Fractions 559/46,760/46,274/278 is 29101540

Greatest Common Factor of 46,46,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,46,278 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 46,46,278 . The biggest common factor number is the GCF number.
So the greatest common factor 46,46,278 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 559/46, 760/46, 274/278

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 559/46, 760/46, 274/278?

Answer: LCM of Numerators as per given numbers 559/46, 760/46, 274/278 is

LCM of Numerators i.e. for 559,760,274 is 58203080

GCF of denominators i.e. for 46,46,278 is 2.

Thus, LCM of Fractions is 29101540.Finally, LCM of Fractions for 559/46, 760/46, 274/278 is 29101540.