Least Common Multiple of 225/676, 3836/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/676, 3836/778 quickly i.e. 431550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/676, 3836/778 is 431550.

LCM(225/676, 3836/778) = 431550

LCM of 225/676, 3836/778

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 225/676,3836/778

Given numbers are 225/676,3836/778

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 225,3836

Least Common Multiple of Numerators i.e. LCM of 225,3836 is 863100.

GCF of Denominators means GCF of 676,778 as per the given fractions.

GCF of 676,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,3836

LCM of Fractions 225/676,3836/778 is 431550

Given numbers has no common factors except 1. So, there LCM is their product i.e 863100

Least Common Multiple of 225,3836 with GCF Formula

Least Common Multiple of 225,3836 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 225,3836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,3836) = 1

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

GCF(225,3836) x common factors =1 x 1 = 1

LCM(225,3836) = ( 225 × 3836 ) / 1

LCM(225,3836) = 863100 / 1

LCM(225,3836) = 863100


Lets's calculate GCF of 676,778

2 676, 778
338, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 863100/2

Therefore the LCM of Fractions 225/676,3836/778 is 431550

Greatest Common Factor of 676,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,778 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 676,778 . The biggest common factor number is the GCF number.
So the greatest common factor 676,778 is 2.


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 225/676, 3836/778

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 225/676, 3836/778?

Answer: LCM of Numerators as per given numbers 225/676, 3836/778 is

LCM of Numerators i.e. for 225,3836 is 863100

GCF of denominators i.e. for 676,778 is 2.

Thus, LCM of Fractions is 431550.Finally, LCM of Fractions for 225/676, 3836/778 is 431550.