Least Common Multiple of 8624/44, 8462/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8624/44, 8462/672 quickly i.e. 9122036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8624/44, 8462/672 is 9122036.

LCM(8624/44, 8462/672) = 9122036

LCM of 8624/44, 8462/672

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 8624/44,8462/672

Given numbers are 8624/44,8462/672

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 8624,8462

Least Common Multiple of Numerators i.e. LCM of 8624,8462 is 36488144.

GCF of Denominators means GCF of 44,672 as per the given fractions.

GCF of 44,672 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8624,8462

LCM of Fractions 8624/44,8462/672 is 9122036

2 8624, 8462
4312, 4231

∴ So the LCM of the given numbers is 2 x 4312 x 4231 = 36488144

Least Common Multiple of 8624,8462 with GCF Formula

Least Common Multiple of 8624,8462 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 8624,8462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8624,8462) = 2

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

GCF(8624,8462) x common factors =2 x 1 = 2

LCM(8624,8462) = ( 8624 × 8462 ) / 2

LCM(8624,8462) = 72976288 / 2

LCM(8624,8462) = 36488144


Lets's calculate GCF of 44,672

2 44, 672
2 22, 336
11, 168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36488144/4

Therefore the LCM of Fractions 8624/44,8462/672 is 9122036

Greatest Common Factor of 44,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,672 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 44,672 . The biggest common factor number is the GCF number.
So the greatest common factor 44,672 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 8624/44, 8462/672

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 8624/44, 8462/672?

Answer: LCM of Numerators as per given numbers 8624/44, 8462/672 is

LCM of Numerators i.e. for 8624,8462 is 36488144

GCF of denominators i.e. for 44,672 is 4.

Thus, LCM of Fractions is 9122036.Finally, LCM of Fractions for 8624/44, 8462/672 is 9122036.