Least Common Multiple of 436/746, 104/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 436/746, 104/996 quickly i.e. 5668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/746, 104/996 is 5668.

LCM(436/746, 104/996) = 5668

LCM of 436/746, 104/996

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 436/746,104/996

Given numbers are 436/746,104/996

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 436,104

Least Common Multiple of Numerators i.e. LCM of 436,104 is 11336.

GCF of Denominators means GCF of 746,996 as per the given fractions.

GCF of 746,996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,104

LCM of Fractions 436/746,104/996 is 5668

2 436, 104
2 218, 52
109, 26

∴ So the LCM of the given numbers is 2 x 2 x 109 x 26 = 11336

Least Common Multiple of 436,104 with GCF Formula

Least Common Multiple of 436,104 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 436,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,104) = 4

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

GCF(436,104) x common factors =4 x 1 = 4

LCM(436,104) = ( 436 × 104 ) / 4

LCM(436,104) = 45344 / 4

LCM(436,104) = 11336


Lets's calculate GCF of 746,996

2 746, 996
373, 498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11336/2

Therefore the LCM of Fractions 436/746,104/996 is 5668

Greatest Common Factor of 746,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,996 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 746,996 . The biggest common factor number is the GCF number.
So the greatest common factor 746,996 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 436/746, 104/996

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 436/746, 104/996?

Answer: LCM of Numerators as per given numbers 436/746, 104/996 is

LCM of Numerators i.e. for 436,104 is 11336

GCF of denominators i.e. for 746,996 is 2.

Thus, LCM of Fractions is 5668.Finally, LCM of Fractions for 436/746, 104/996 is 5668.