Least Common Multiple of 664/86, 499/56, 830/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/86, 499/56, 830/900 quickly i.e. 828340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/86, 499/56, 830/900 is 828340.

LCM(664/86, 499/56, 830/900) = 828340

LCM of 664/86, 499/56, 830/900

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 664/86,499/56,830/900

Given numbers are 664/86,499/56,830/900

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 664,499,830

Least Common Multiple of Numerators i.e. LCM of 664,499,830 is 1656680.

GCF of Denominators means GCF of 86,56,900 as per the given fractions.

GCF of 86,56,900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,499,830

LCM of Fractions 664/86,499/56,830/900 is 828340

2 664, 499, 830
83 332, 499, 415
4, 499, 5

∴ So the LCM of the given numbers is 2 x 83 x 4 x 499 x 5 = 1656680

Least Common Multiple of 664,499,830 with GCF Formula

Least Common Multiple of 664,499,830 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 664,499,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,499,830) = 1

common factors(in case of two or more numbers have common factors) = 166

GCF(664,499,830) x common factors =1 x 166 = 166

LCM(664,499,830) = ( 664 × 499 × 830 ) / 166

LCM(664,499,830) = 275008880 / 166

LCM(664,499,830) = 1656680


Lets's calculate GCF of 86,56,900

2 86, 56, 900
43, 28, 450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656680/2

Therefore the LCM of Fractions 664/86,499/56,830/900 is 828340

Greatest Common Factor of 86,56,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,56,900 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 86,56,900 . The biggest common factor number is the GCF number.
So the greatest common factor 86,56,900 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 664/86, 499/56, 830/900

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 664/86, 499/56, 830/900?

Answer: LCM of Numerators as per given numbers 664/86, 499/56, 830/900 is

LCM of Numerators i.e. for 664,499,830 is 1656680

GCF of denominators i.e. for 86,56,900 is 2.

Thus, LCM of Fractions is 828340.Finally, LCM of Fractions for 664/86, 499/56, 830/900 is 828340.