Least Common Multiple of 1623/708, 8622/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1623/708, 8622/723 quickly i.e. 1554834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1623/708, 8622/723 is 1554834.

LCM(1623/708, 8622/723) = 1554834

LCM of 1623/708, 8622/723

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 1623/708,8622/723

Given numbers are 1623/708,8622/723

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 1623,8622

Least Common Multiple of Numerators i.e. LCM of 1623,8622 is 4664502.

GCF of Denominators means GCF of 708,723 as per the given fractions.

GCF of 708,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1623,8622

LCM of Fractions 1623/708,8622/723 is 1554834

3 1623, 8622
541, 2874

∴ So the LCM of the given numbers is 3 x 541 x 2874 = 4664502

Least Common Multiple of 1623,8622 with GCF Formula

Least Common Multiple of 1623,8622 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 1623,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1623,8622) = 3

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

GCF(1623,8622) x common factors =3 x 1 = 3

LCM(1623,8622) = ( 1623 × 8622 ) / 3

LCM(1623,8622) = 13993506 / 3

LCM(1623,8622) = 4664502


Lets's calculate GCF of 708,723

3 708, 723
236, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4664502/3

Therefore the LCM of Fractions 1623/708,8622/723 is 1554834

Greatest Common Factor of 708,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,723 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 708,723 . The biggest common factor number is the GCF number.
So the greatest common factor 708,723 is 3.


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 1623/708, 8622/723

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 1623/708, 8622/723?

Answer: LCM of Numerators as per given numbers 1623/708, 8622/723 is

LCM of Numerators i.e. for 1623,8622 is 4664502

GCF of denominators i.e. for 708,723 is 3.

Thus, LCM of Fractions is 1554834.Finally, LCM of Fractions for 1623/708, 8622/723 is 1554834.