Least Common Multiple of 496/86, 440/24, 509/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/86, 440/24, 509/362 quickly i.e. 6942760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/86, 440/24, 509/362 is 6942760.

LCM(496/86, 440/24, 509/362) = 6942760

LCM of 496/86, 440/24, 509/362

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 496/86,440/24,509/362

Given numbers are 496/86,440/24,509/362

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 496,440,509

Least Common Multiple of Numerators i.e. LCM of 496,440,509 is 13885520.

GCF of Denominators means GCF of 86,24,362 as per the given fractions.

GCF of 86,24,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,440,509

LCM of Fractions 496/86,440/24,509/362 is 6942760

2 496, 440, 509
2 248, 220, 509
2 124, 110, 509
62, 55, 509

∴ So the LCM of the given numbers is 2 x 2 x 2 x 62 x 55 x 509 = 13885520

Least Common Multiple of 496,440,509 with GCF Formula

Least Common Multiple of 496,440,509 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 496,440,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,440,509) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(496,440,509) x common factors =1 x 8 = 8

LCM(496,440,509) = ( 496 × 440 × 509 ) / 8

LCM(496,440,509) = 111084160 / 8

LCM(496,440,509) = 13885520


Lets's calculate GCF of 86,24,362

2 86, 24, 362
43, 12, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13885520/2

Therefore the LCM of Fractions 496/86,440/24,509/362 is 6942760

Greatest Common Factor of 86,24,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,24,362 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 86,24,362 . The biggest common factor number is the GCF number.
So the greatest common factor 86,24,362 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 496/86, 440/24, 509/362

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 496/86, 440/24, 509/362?

Answer: LCM of Numerators as per given numbers 496/86, 440/24, 509/362 is

LCM of Numerators i.e. for 496,440,509 is 13885520

GCF of denominators i.e. for 86,24,362 is 2.

Thus, LCM of Fractions is 6942760.Finally, LCM of Fractions for 496/86, 440/24, 509/362 is 6942760.