Least Common Multiple of 64/723, 19/492, 890/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/723, 19/492, 890/861 quickly i.e. 541120/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/723, 19/492, 890/861 is 541120/3.

LCM(64/723, 19/492, 890/861) = 541120/3

LCM of 64/723, 19/492, 890/861

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 64/723,19/492,890/861

Given numbers are 64/723,19/492,890/861

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 64,19,890

Least Common Multiple of Numerators i.e. LCM of 64,19,890 is 541120.

GCF of Denominators means GCF of 723,492,861 as per the given fractions.

GCF of 723,492,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,19,890

LCM of Fractions 64/723,19/492,890/861 is 541120/3

2 64, 19, 890
32, 19, 445

∴ So the LCM of the given numbers is 2 x 32 x 19 x 445 = 541120

Least Common Multiple of 64,19,890 with GCF Formula

Least Common Multiple of 64,19,890 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 64,19,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,19,890) = 1

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

GCF(64,19,890) x common factors =1 x 2 = 2

LCM(64,19,890) = ( 64 × 19 × 890 ) / 2

LCM(64,19,890) = 1082240 / 2

LCM(64,19,890) = 541120


Lets's calculate GCF of 723,492,861

3 723, 492, 861
241, 164, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541120/3

Therefore the LCM of Fractions 64/723,19/492,890/861 is 541120/3

Greatest Common Factor of 723,492,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,492,861 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 723,492,861 . The biggest common factor number is the GCF number.
So the greatest common factor 723,492,861 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 64/723, 19/492, 890/861

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 64/723, 19/492, 890/861?

Answer: LCM of Numerators as per given numbers 64/723, 19/492, 890/861 is

LCM of Numerators i.e. for 64,19,890 is 541120

GCF of denominators i.e. for 723,492,861 is 3.

Thus, LCM of Fractions is 541120/3.Finally, LCM of Fractions for 64/723, 19/492, 890/861 is 541120/3.