Least Common Multiple of 688/825, 3778/4392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/825, 3778/4392 quickly i.e. 1299632/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/825, 3778/4392 is 1299632/3.

LCM(688/825, 3778/4392) = 1299632/3

LCM of 688/825, 3778/4392

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 688/825,3778/4392

Given numbers are 688/825,3778/4392

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 688,3778

Least Common Multiple of Numerators i.e. LCM of 688,3778 is 1299632.

GCF of Denominators means GCF of 825,4392 as per the given fractions.

GCF of 825,4392 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,3778

LCM of Fractions 688/825,3778/4392 is 1299632/3

2 688, 3778
344, 1889

∴ So the LCM of the given numbers is 2 x 344 x 1889 = 1299632

Least Common Multiple of 688,3778 with GCF Formula

Least Common Multiple of 688,3778 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 688,3778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,3778) = 2

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

GCF(688,3778) x common factors =2 x 1 = 2

LCM(688,3778) = ( 688 × 3778 ) / 2

LCM(688,3778) = 2599264 / 2

LCM(688,3778) = 1299632


Lets's calculate GCF of 825,4392

3 825, 4392
275, 1464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1299632/3

Therefore the LCM of Fractions 688/825,3778/4392 is 1299632/3

Greatest Common Factor of 825,4392 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,4392 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392

Greatest Common Factor

We found the factors 825,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 825,4392 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 688/825, 3778/4392

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 688/825, 3778/4392?

Answer: LCM of Numerators as per given numbers 688/825, 3778/4392 is

LCM of Numerators i.e. for 688,3778 is 1299632

GCF of denominators i.e. for 825,4392 is 3.

Thus, LCM of Fractions is 1299632/3.Finally, LCM of Fractions for 688/825, 3778/4392 is 1299632/3.