Least Common Multiple of 54/706, 56/716, 869/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/706, 56/716, 869/489 quickly i.e. 1313928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/706, 56/716, 869/489 is 1313928.

LCM(54/706, 56/716, 869/489) = 1313928

LCM of 54/706, 56/716, 869/489

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 54/706,56/716,869/489

Given numbers are 54/706,56/716,869/489

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 54,56,869

Least Common Multiple of Numerators i.e. LCM of 54,56,869 is 1313928.

GCF of Denominators means GCF of 706,716,489 as per the given fractions.

GCF of 706,716,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,56,869

LCM of Fractions 54/706,56/716,869/489 is 1313928

2 54, 56, 869
27, 28, 869

∴ So the LCM of the given numbers is 2 x 27 x 28 x 869 = 1313928

Least Common Multiple of 54,56,869 with GCF Formula

Least Common Multiple of 54,56,869 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 54,56,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,56,869) = 1

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

GCF(54,56,869) x common factors =1 x 2 = 2

LCM(54,56,869) = ( 54 × 56 × 869 ) / 2

LCM(54,56,869) = 2627856 / 2

LCM(54,56,869) = 1313928


Lets's calculate GCF of 706,716,489

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1313928/1

Therefore the LCM of Fractions 54/706,56/716,869/489 is 1313928

Greatest Common Factor of 706,716,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,716,489 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 706,716,489 . The biggest common factor number is the GCF number.
So the greatest common factor 706,716,489 is 1.


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 54/706, 56/716, 869/489

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 54/706, 56/716, 869/489?

Answer: LCM of Numerators as per given numbers 54/706, 56/716, 869/489 is

LCM of Numerators i.e. for 54,56,869 is 1313928

GCF of denominators i.e. for 706,716,489 is 1.

Thus, LCM of Fractions is 1313928.Finally, LCM of Fractions for 54/706, 56/716, 869/489 is 1313928.