Least Common Multiple of 44/470, 7513/5656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/470, 7513/5656 quickly i.e. 15026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/470, 7513/5656 is 15026.

LCM(44/470, 7513/5656) = 15026

LCM of 44/470, 7513/5656

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 44/470,7513/5656

Given numbers are 44/470,7513/5656

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 44,7513

Least Common Multiple of Numerators i.e. LCM of 44,7513 is 30052.

GCF of Denominators means GCF of 470,5656 as per the given fractions.

GCF of 470,5656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,7513

LCM of Fractions 44/470,7513/5656 is 15026

11 44, 7513
4, 683

∴ So the LCM of the given numbers is 11 x 4 x 683 = 30052

Least Common Multiple of 44,7513 with GCF Formula

Least Common Multiple of 44,7513 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 44,7513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,7513) = 11

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

GCF(44,7513) x common factors =11 x 1 = 11

LCM(44,7513) = ( 44 × 7513 ) / 11

LCM(44,7513) = 330572 / 11

LCM(44,7513) = 30052


Lets's calculate GCF of 470,5656

2 470, 5656
235, 2828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30052/2

Therefore the LCM of Fractions 44/470,7513/5656 is 15026

Greatest Common Factor of 470,5656 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,5656 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Greatest Common Factor

We found the factors 470,5656 . The biggest common factor number is the GCF number.
So the greatest common factor 470,5656 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 44/470, 7513/5656

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 44/470, 7513/5656?

Answer: LCM of Numerators as per given numbers 44/470, 7513/5656 is

LCM of Numerators i.e. for 44,7513 is 30052

GCF of denominators i.e. for 470,5656 is 2.

Thus, LCM of Fractions is 15026.Finally, LCM of Fractions for 44/470, 7513/5656 is 15026.