Least Common Multiple of 1764/623, 5366/9562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1764/623, 5366/9562 quickly i.e. 676116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1764/623, 5366/9562 is 676116.

LCM(1764/623, 5366/9562) = 676116

LCM of 1764/623, 5366/9562

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 1764/623,5366/9562

Given numbers are 1764/623,5366/9562

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 1764,5366

Least Common Multiple of Numerators i.e. LCM of 1764,5366 is 4732812.

GCF of Denominators means GCF of 623,9562 as per the given fractions.

GCF of 623,9562 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1764,5366

LCM of Fractions 1764/623,5366/9562 is 676116

2 1764, 5366
882, 2683

∴ So the LCM of the given numbers is 2 x 882 x 2683 = 4732812

Least Common Multiple of 1764,5366 with GCF Formula

Least Common Multiple of 1764,5366 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 1764,5366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1764,5366) = 2

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

GCF(1764,5366) x common factors =2 x 1 = 2

LCM(1764,5366) = ( 1764 × 5366 ) / 2

LCM(1764,5366) = 9465624 / 2

LCM(1764,5366) = 4732812


Lets's calculate GCF of 623,9562

7 623, 9562
89, 1366

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4732812/7

Therefore the LCM of Fractions 1764/623,5366/9562 is 676116

Greatest Common Factor of 623,9562 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,9562 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1,2,7,14,683,1366,4781,9562

Greatest Common Factor

We found the factors 623,9562 . The biggest common factor number is the GCF number.
So the greatest common factor 623,9562 is 7.


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 1764/623, 5366/9562

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 1764/623, 5366/9562?

Answer: LCM of Numerators as per given numbers 1764/623, 5366/9562 is

LCM of Numerators i.e. for 1764,5366 is 4732812

GCF of denominators i.e. for 623,9562 is 7.

Thus, LCM of Fractions is 676116.Finally, LCM of Fractions for 1764/623, 5366/9562 is 676116.