Least Common Multiple of 511/46, 383/38, 818/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 511/46, 383/38, 818/978 quickly i.e. 80046617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 511/46, 383/38, 818/978 is 80046617.

LCM(511/46, 383/38, 818/978) = 80046617

LCM of 511/46, 383/38, 818/978

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 511/46,383/38,818/978

Given numbers are 511/46,383/38,818/978

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 511,383,818

Least Common Multiple of Numerators i.e. LCM of 511,383,818 is 160093234.

GCF of Denominators means GCF of 46,38,978 as per the given fractions.

GCF of 46,38,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 511,383,818

LCM of Fractions 511/46,383/38,818/978 is 80046617

Given numbers has no common factors except 1. So, there LCM is their product i.e 160093234

Least Common Multiple of 511,383,818 with GCF Formula

Least Common Multiple of 511,383,818 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 511,383,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(511,383,818) = 1

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

GCF(511,383,818) x common factors =1 x 1 = 1

LCM(511,383,818) = ( 511 × 383 × 818 ) / 1

LCM(511,383,818) = 160093234 / 1

LCM(511,383,818) = 160093234


Lets's calculate GCF of 46,38,978

2 46, 38, 978
23, 19, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160093234/2

Therefore the LCM of Fractions 511/46,383/38,818/978 is 80046617

Greatest Common Factor of 46,38,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,38,978 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 46,38,978 . The biggest common factor number is the GCF number.
So the greatest common factor 46,38,978 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 511/46, 383/38, 818/978

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 511/46, 383/38, 818/978?

Answer: LCM of Numerators as per given numbers 511/46, 383/38, 818/978 is

LCM of Numerators i.e. for 511,383,818 is 160093234

GCF of denominators i.e. for 46,38,978 is 2.

Thus, LCM of Fractions is 80046617.Finally, LCM of Fractions for 511/46, 383/38, 818/978 is 80046617.