Least Common Multiple of 498/664, 526/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/664, 526/230 quickly i.e. 65487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/664, 526/230 is 65487.

LCM(498/664, 526/230) = 65487

LCM of 498/664, 526/230

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 498/664,526/230

Given numbers are 498/664,526/230

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 498,526

Least Common Multiple of Numerators i.e. LCM of 498,526 is 130974.

GCF of Denominators means GCF of 664,230 as per the given fractions.

GCF of 664,230 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,526

LCM of Fractions 498/664,526/230 is 65487

2 498, 526
249, 263

∴ So the LCM of the given numbers is 2 x 249 x 263 = 130974

Least Common Multiple of 498,526 with GCF Formula

Least Common Multiple of 498,526 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 498,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,526) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(498,526) x common factors =2 x 1 = 2

LCM(498,526) = ( 498 × 526 ) / 2

LCM(498,526) = 261948 / 2

LCM(498,526) = 130974


Lets's calculate GCF of 664,230

2 664, 230
332, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130974/2

Therefore the LCM of Fractions 498/664,526/230 is 65487

Greatest Common Factor of 664,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,230 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 664,230 . The biggest common factor number is the GCF number.
So the greatest common factor 664,230 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 498/664, 526/230

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 498/664, 526/230?

Answer: LCM of Numerators as per given numbers 498/664, 526/230 is

LCM of Numerators i.e. for 498,526 is 130974

GCF of denominators i.e. for 664,230 is 2.

Thus, LCM of Fractions is 65487.Finally, LCM of Fractions for 498/664, 526/230 is 65487.