Least Common Multiple of 936/493, 5614/4930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/493, 5614/4930 quickly i.e. 2627352/493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/493, 5614/4930 is 2627352/493.

LCM(936/493, 5614/4930) = 2627352/493

LCM of 936/493, 5614/4930

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 936/493,5614/4930

Given numbers are 936/493,5614/4930

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 936,5614

Least Common Multiple of Numerators i.e. LCM of 936,5614 is 2627352.

GCF of Denominators means GCF of 493,4930 as per the given fractions.

GCF of 493,4930 is 493 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,5614

LCM of Fractions 936/493,5614/4930 is 2627352/493

2 936, 5614
468, 2807

∴ So the LCM of the given numbers is 2 x 468 x 2807 = 2627352

Least Common Multiple of 936,5614 with GCF Formula

Least Common Multiple of 936,5614 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 936,5614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,5614) = 2

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

GCF(936,5614) x common factors =2 x 1 = 2

LCM(936,5614) = ( 936 × 5614 ) / 2

LCM(936,5614) = 5254704 / 2

LCM(936,5614) = 2627352


Lets's calculate GCF of 493,4930

17 493, 4930
29 29, 290
1, 10

∴ So the GCF of the given numbers is 17 x 29 = 493

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2627352/493

Therefore the LCM of Fractions 936/493,5614/4930 is 2627352/493

Greatest Common Factor of 493,4930 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,4930 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Greatest Common Factor

We found the factors 493,4930 . The biggest common factor number is the GCF number.
So the greatest common factor 493,4930 is 493.


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 936/493, 5614/4930

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 936/493, 5614/4930?

Answer: LCM of Numerators as per given numbers 936/493, 5614/4930 is

LCM of Numerators i.e. for 936,5614 is 2627352

GCF of denominators i.e. for 493,4930 is 493.

Thus, LCM of Fractions is 2627352/493.Finally, LCM of Fractions for 936/493, 5614/4930 is 2627352/493.