Least Common Multiple of 468/899, 430/152, 884/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/899, 430/152, 884/268 quickly i.e. 1710540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/899, 430/152, 884/268 is 1710540.

LCM(468/899, 430/152, 884/268) = 1710540

LCM of 468/899, 430/152, 884/268

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 468/899,430/152,884/268

Given numbers are 468/899,430/152,884/268

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 468,430,884

Least Common Multiple of Numerators i.e. LCM of 468,430,884 is 1710540.

GCF of Denominators means GCF of 899,152,268 as per the given fractions.

GCF of 899,152,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,430,884

LCM of Fractions 468/899,430/152,884/268 is 1710540

2 468, 430, 884
2 234, 215, 442
13 117, 215, 221
9, 215, 17

∴ So the LCM of the given numbers is 2 x 2 x 13 x 9 x 215 x 17 = 1710540

Least Common Multiple of 468,430,884 with GCF Formula

Least Common Multiple of 468,430,884 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 468,430,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,430,884) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(468,430,884) x common factors =2 x 52 = 104

LCM(468,430,884) = ( 468 × 430 × 884 ) / 104

LCM(468,430,884) = 177896160 / 104

LCM(468,430,884) = 1710540


Lets's calculate GCF of 899,152,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1710540/1

Therefore the LCM of Fractions 468/899,430/152,884/268 is 1710540

Greatest Common Factor of 899,152,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,152,268 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 899,152,268 . The biggest common factor number is the GCF number.
So the greatest common factor 899,152,268 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 468/899, 430/152, 884/268

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 468/899, 430/152, 884/268?

Answer: LCM of Numerators as per given numbers 468/899, 430/152, 884/268 is

LCM of Numerators i.e. for 468,430,884 is 1710540

GCF of denominators i.e. for 899,152,268 is 1.

Thus, LCM of Fractions is 1710540.Finally, LCM of Fractions for 468/899, 430/152, 884/268 is 1710540.