Least Common Multiple of 3612/564, 7112/4600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3612/564, 7112/4600 quickly i.e. 229362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3612/564, 7112/4600 is 229362.

LCM(3612/564, 7112/4600) = 229362

LCM of 3612/564, 7112/4600

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 3612/564,7112/4600

Given numbers are 3612/564,7112/4600

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 3612,7112

Least Common Multiple of Numerators i.e. LCM of 3612,7112 is 917448.

GCF of Denominators means GCF of 564,4600 as per the given fractions.

GCF of 564,4600 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3612,7112

LCM of Fractions 3612/564,7112/4600 is 229362

2 3612, 7112
2 1806, 3556
7 903, 1778
129, 254

∴ So the LCM of the given numbers is 2 x 2 x 7 x 129 x 254 = 917448

Least Common Multiple of 3612,7112 with GCF Formula

Least Common Multiple of 3612,7112 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 3612,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3612,7112) = 28

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

GCF(3612,7112) x common factors =28 x 1 = 28

LCM(3612,7112) = ( 3612 × 7112 ) / 28

LCM(3612,7112) = 25688544 / 28

LCM(3612,7112) = 917448


Lets's calculate GCF of 564,4600

2 564, 4600
2 282, 2300
141, 1150

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 917448/4

Therefore the LCM of Fractions 3612/564,7112/4600 is 229362

Greatest Common Factor of 564,4600 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,4600 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Greatest Common Factor

We found the factors 564,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 564,4600 is 4.


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 3612/564, 7112/4600

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 3612/564, 7112/4600?

Answer: LCM of Numerators as per given numbers 3612/564, 7112/4600 is

LCM of Numerators i.e. for 3612,7112 is 917448

GCF of denominators i.e. for 564,4600 is 4.

Thus, LCM of Fractions is 229362.Finally, LCM of Fractions for 3612/564, 7112/4600 is 229362.