Least Common Multiple of 7223/752, 7247/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7223/752, 7247/490 quickly i.e. 52345081/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7223/752, 7247/490 is 52345081/2.

LCM(7223/752, 7247/490) = 52345081/2

LCM of 7223/752, 7247/490

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 7223/752,7247/490

Given numbers are 7223/752,7247/490

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 7223,7247

Least Common Multiple of Numerators i.e. LCM of 7223,7247 is 52345081.

GCF of Denominators means GCF of 752,490 as per the given fractions.

GCF of 752,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7223,7247

LCM of Fractions 7223/752,7247/490 is 52345081/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 52345081

Least Common Multiple of 7223,7247 with GCF Formula

Least Common Multiple of 7223,7247 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 7223,7247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7223,7247) = 1

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

GCF(7223,7247) x common factors =1 x 1 = 1

LCM(7223,7247) = ( 7223 × 7247 ) / 1

LCM(7223,7247) = 52345081 / 1

LCM(7223,7247) = 52345081


Lets's calculate GCF of 752,490

2 752, 490
376, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52345081/2

Therefore the LCM of Fractions 7223/752,7247/490 is 52345081/2

Greatest Common Factor of 752,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,490 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

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

Greatest Common Factor

We found the factors 752,490 . The biggest common factor number is the GCF number.
So the greatest common factor 752,490 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 7223/752, 7247/490

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 7223/752, 7247/490?

Answer: LCM of Numerators as per given numbers 7223/752, 7247/490 is

LCM of Numerators i.e. for 7223,7247 is 52345081

GCF of denominators i.e. for 752,490 is 2.

Thus, LCM of Fractions is 52345081/2.Finally, LCM of Fractions for 7223/752, 7247/490 is 52345081/2.