Least Common Multiple of 4744/435, 4066/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4744/435, 4066/920 quickly i.e. 9644552/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4744/435, 4066/920 is 9644552/5.

LCM(4744/435, 4066/920) = 9644552/5

LCM of 4744/435, 4066/920

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 4744/435,4066/920

Given numbers are 4744/435,4066/920

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 4744,4066

Least Common Multiple of Numerators i.e. LCM of 4744,4066 is 9644552.

GCF of Denominators means GCF of 435,920 as per the given fractions.

GCF of 435,920 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4744,4066

LCM of Fractions 4744/435,4066/920 is 9644552/5

2 4744, 4066
2372, 2033

∴ So the LCM of the given numbers is 2 x 2372 x 2033 = 9644552

Least Common Multiple of 4744,4066 with GCF Formula

Least Common Multiple of 4744,4066 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 4744,4066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4744,4066) = 2

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

GCF(4744,4066) x common factors =2 x 1 = 2

LCM(4744,4066) = ( 4744 × 4066 ) / 2

LCM(4744,4066) = 19289104 / 2

LCM(4744,4066) = 9644552


Lets's calculate GCF of 435,920

5 435, 920
87, 184

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9644552/5

Therefore the LCM of Fractions 4744/435,4066/920 is 9644552/5

Greatest Common Factor of 435,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,920 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 435,920 . The biggest common factor number is the GCF number.
So the greatest common factor 435,920 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4744/435, 4066/920

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 4744/435, 4066/920?

Answer: LCM of Numerators as per given numbers 4744/435, 4066/920 is

LCM of Numerators i.e. for 4744,4066 is 9644552

GCF of denominators i.e. for 435,920 is 5.

Thus, LCM of Fractions is 9644552/5.Finally, LCM of Fractions for 4744/435, 4066/920 is 9644552/5.