Least Common Multiple of 560/78, 273/45, 511/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/78, 273/45, 511/993 quickly i.e. 531440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/78, 273/45, 511/993 is 531440.

LCM(560/78, 273/45, 511/993) = 531440

LCM of 560/78, 273/45, 511/993

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 560/78,273/45,511/993

Given numbers are 560/78,273/45,511/993

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 560,273,511

Least Common Multiple of Numerators i.e. LCM of 560,273,511 is 1594320.

GCF of Denominators means GCF of 78,45,993 as per the given fractions.

GCF of 78,45,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,273,511

LCM of Fractions 560/78,273/45,511/993 is 531440

7 560, 273, 511
80, 39, 73

∴ So the LCM of the given numbers is 7 x 80 x 39 x 73 = 1594320

Least Common Multiple of 560,273,511 with GCF Formula

Least Common Multiple of 560,273,511 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 560,273,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,273,511) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(560,273,511) x common factors =7 x 7 = 49

LCM(560,273,511) = ( 560 × 273 × 511 ) / 49

LCM(560,273,511) = 78121680 / 49

LCM(560,273,511) = 1594320


Lets's calculate GCF of 78,45,993

3 78, 45, 993
26, 15, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1594320/3

Therefore the LCM of Fractions 560/78,273/45,511/993 is 531440

Greatest Common Factor of 78,45,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,45,993 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 78,45,993 . The biggest common factor number is the GCF number.
So the greatest common factor 78,45,993 is 3.


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 560/78, 273/45, 511/993

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 560/78, 273/45, 511/993?

Answer: LCM of Numerators as per given numbers 560/78, 273/45, 511/993 is

LCM of Numerators i.e. for 560,273,511 is 1594320

GCF of denominators i.e. for 78,45,993 is 3.

Thus, LCM of Fractions is 531440.Finally, LCM of Fractions for 560/78, 273/45, 511/993 is 531440.