Least Common Multiple of 47/512, 67/368, 965/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/512, 67/368, 965/278 quickly i.e. 3038785/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/512, 67/368, 965/278 is 3038785/2.

LCM(47/512, 67/368, 965/278) = 3038785/2

LCM of 47/512, 67/368, 965/278

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 47/512,67/368,965/278

Given numbers are 47/512,67/368,965/278

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 47,67,965

Least Common Multiple of Numerators i.e. LCM of 47,67,965 is 3038785.

GCF of Denominators means GCF of 512,368,278 as per the given fractions.

GCF of 512,368,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,67,965

LCM of Fractions 47/512,67/368,965/278 is 3038785/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3038785

Least Common Multiple of 47,67,965 with GCF Formula

Least Common Multiple of 47,67,965 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 47,67,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,67,965) = 1

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

GCF(47,67,965) x common factors =1 x 1 = 1

LCM(47,67,965) = ( 47 × 67 × 965 ) / 1

LCM(47,67,965) = 3038785 / 1

LCM(47,67,965) = 3038785


Lets's calculate GCF of 512,368,278

2 512, 368, 278
256, 184, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3038785/2

Therefore the LCM of Fractions 47/512,67/368,965/278 is 3038785/2

Greatest Common Factor of 512,368,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,368,278 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

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 512,368,278 . The biggest common factor number is the GCF number.
So the greatest common factor 512,368,278 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 47/512, 67/368, 965/278

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 47/512, 67/368, 965/278?

Answer: LCM of Numerators as per given numbers 47/512, 67/368, 965/278 is

LCM of Numerators i.e. for 47,67,965 is 3038785

GCF of denominators i.e. for 512,368,278 is 2.

Thus, LCM of Fractions is 3038785/2.Finally, LCM of Fractions for 47/512, 67/368, 965/278 is 3038785/2.