Least Common Multiple of 223/490, 5640/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/490, 5640/736 quickly i.e. 628860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/490, 5640/736 is 628860.

LCM(223/490, 5640/736) = 628860

LCM of 223/490, 5640/736

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 223/490,5640/736

Given numbers are 223/490,5640/736

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 223,5640

Least Common Multiple of Numerators i.e. LCM of 223,5640 is 1257720.

GCF of Denominators means GCF of 490,736 as per the given fractions.

GCF of 490,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,5640

LCM of Fractions 223/490,5640/736 is 628860

Given numbers has no common factors except 1. So, there LCM is their product i.e 1257720

Least Common Multiple of 223,5640 with GCF Formula

Least Common Multiple of 223,5640 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 223,5640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,5640) = 1

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

GCF(223,5640) x common factors =1 x 1 = 1

LCM(223,5640) = ( 223 × 5640 ) / 1

LCM(223,5640) = 1257720 / 1

LCM(223,5640) = 1257720


Lets's calculate GCF of 490,736

2 490, 736
245, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1257720/2

Therefore the LCM of Fractions 223/490,5640/736 is 628860

Greatest Common Factor of 490,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,736 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 490,736 . The biggest common factor number is the GCF number.
So the greatest common factor 490,736 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 223/490, 5640/736

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 223/490, 5640/736?

Answer: LCM of Numerators as per given numbers 223/490, 5640/736 is

LCM of Numerators i.e. for 223,5640 is 1257720

GCF of denominators i.e. for 490,736 is 2.

Thus, LCM of Fractions is 628860.Finally, LCM of Fractions for 223/490, 5640/736 is 628860.