Least Common Multiple of 73/756, 1436/8624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/756, 1436/8624 quickly i.e. 104828/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/756, 1436/8624 is 104828/28.

LCM(73/756, 1436/8624) = 104828/28

LCM of 73/756, 1436/8624

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 73/756,1436/8624

Given numbers are 73/756,1436/8624

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 73,1436

Least Common Multiple of Numerators i.e. LCM of 73,1436 is 104828.

GCF of Denominators means GCF of 756,8624 as per the given fractions.

GCF of 756,8624 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,1436

LCM of Fractions 73/756,1436/8624 is 104828/28

Given numbers has no common factors except 1. So, there LCM is their product i.e 104828

Least Common Multiple of 73,1436 with GCF Formula

Least Common Multiple of 73,1436 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 73,1436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,1436) = 1

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

GCF(73,1436) x common factors =1 x 1 = 1

LCM(73,1436) = ( 73 × 1436 ) / 1

LCM(73,1436) = 104828 / 1

LCM(73,1436) = 104828


Lets's calculate GCF of 756,8624

2 756, 8624
2 378, 4312
7 189, 2156
27, 308

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104828/28

Therefore the LCM of Fractions 73/756,1436/8624 is 104828/28

Greatest Common Factor of 756,8624 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,8624 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 8624

List of positive integer factors of 8624 that divides 8624 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,49,56,77,88,98,112,154,176,196,308,392,539,616,784,1078,1232,2156,4312,8624

Greatest Common Factor

We found the factors 756,8624 . The biggest common factor number is the GCF number.
So the greatest common factor 756,8624 is 28.


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 73/756, 1436/8624

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 73/756, 1436/8624?

Answer: LCM of Numerators as per given numbers 73/756, 1436/8624 is

LCM of Numerators i.e. for 73,1436 is 104828

GCF of denominators i.e. for 756,8624 is 28.

Thus, LCM of Fractions is 104828/28.Finally, LCM of Fractions for 73/756, 1436/8624 is 104828/28.