Least Common Multiple of 47/678, 932/704, 256/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/678, 932/704, 256/978 quickly i.e. 1401728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/678, 932/704, 256/978 is 1401728.

LCM(47/678, 932/704, 256/978) = 1401728

LCM of 47/678, 932/704, 256/978

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 47/678,932/704,256/978

Given numbers are 47/678,932/704,256/978

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 47,932,256

Least Common Multiple of Numerators i.e. LCM of 47,932,256 is 2803456.

GCF of Denominators means GCF of 678,704,978 as per the given fractions.

GCF of 678,704,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,932,256

LCM of Fractions 47/678,932/704,256/978 is 1401728

2 47, 932, 256
2 47, 466, 128
47, 233, 64

∴ So the LCM of the given numbers is 2 x 2 x 47 x 233 x 64 = 2803456

Least Common Multiple of 47,932,256 with GCF Formula

Least Common Multiple of 47,932,256 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 47,932,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,932,256) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,932,256) x common factors =1 x 4 = 4

LCM(47,932,256) = ( 47 × 932 × 256 ) / 4

LCM(47,932,256) = 11213824 / 4

LCM(47,932,256) = 2803456


Lets's calculate GCF of 678,704,978

2 678, 704, 978
339, 352, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2803456/2

Therefore the LCM of Fractions 47/678,932/704,256/978 is 1401728

Greatest Common Factor of 678,704,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,704,978 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 678,704,978 . The biggest common factor number is the GCF number.
So the greatest common factor 678,704,978 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 47/678, 932/704, 256/978

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 47/678, 932/704, 256/978?

Answer: LCM of Numerators as per given numbers 47/678, 932/704, 256/978 is

LCM of Numerators i.e. for 47,932,256 is 2803456

GCF of denominators i.e. for 678,704,978 is 2.

Thus, LCM of Fractions is 1401728.Finally, LCM of Fractions for 47/678, 932/704, 256/978 is 1401728.