Least Common Multiple of 494/24, 762/7126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/24, 762/7126 quickly i.e. 94107 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/24, 762/7126 is 94107.

LCM(494/24, 762/7126) = 94107

LCM of 494/24, 762/7126

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 494/24,762/7126

Given numbers are 494/24,762/7126

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 494,762

Least Common Multiple of Numerators i.e. LCM of 494,762 is 188214.

GCF of Denominators means GCF of 24,7126 as per the given fractions.

GCF of 24,7126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,762

LCM of Fractions 494/24,762/7126 is 94107

2 494, 762
247, 381

∴ So the LCM of the given numbers is 2 x 247 x 381 = 188214

Least Common Multiple of 494,762 with GCF Formula

Least Common Multiple of 494,762 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 494,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,762) = 2

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

GCF(494,762) x common factors =2 x 1 = 2

LCM(494,762) = ( 494 × 762 ) / 2

LCM(494,762) = 376428 / 2

LCM(494,762) = 188214


Lets's calculate GCF of 24,7126

2 24, 7126
12, 3563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188214/2

Therefore the LCM of Fractions 494/24,762/7126 is 94107

Greatest Common Factor of 24,7126 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7126 By Matching Biggest Common Factor Method

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 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1,2,7,14,509,1018,3563,7126

Greatest Common Factor

We found the factors 24,7126 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7126 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 494/24, 762/7126

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 494/24, 762/7126?

Answer: LCM of Numerators as per given numbers 494/24, 762/7126 is

LCM of Numerators i.e. for 494,762 is 188214

GCF of denominators i.e. for 24,7126 is 2.

Thus, LCM of Fractions is 94107.Finally, LCM of Fractions for 494/24, 762/7126 is 94107.