Least Common Multiple of 235/26, 3855/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 235/26, 3855/778 quickly i.e. 181185/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/26, 3855/778 is 181185/2.

LCM(235/26, 3855/778) = 181185/2

LCM of 235/26, 3855/778

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 235/26,3855/778

Given numbers are 235/26,3855/778

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 235,3855

Least Common Multiple of Numerators i.e. LCM of 235,3855 is 181185.

GCF of Denominators means GCF of 26,778 as per the given fractions.

GCF of 26,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,3855

LCM of Fractions 235/26,3855/778 is 181185/2

5 235, 3855
47, 771

∴ So the LCM of the given numbers is 5 x 47 x 771 = 181185

Least Common Multiple of 235,3855 with GCF Formula

Least Common Multiple of 235,3855 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 235,3855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,3855) = 5

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

GCF(235,3855) x common factors =5 x 1 = 5

LCM(235,3855) = ( 235 × 3855 ) / 5

LCM(235,3855) = 905925 / 5

LCM(235,3855) = 181185


Lets's calculate GCF of 26,778

2 26, 778
13, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181185/2

Therefore the LCM of Fractions 235/26,3855/778 is 181185/2

Greatest Common Factor of 26,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,778 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

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 26,778 . The biggest common factor number is the GCF number.
So the greatest common factor 26,778 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 235/26, 3855/778

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 235/26, 3855/778?

Answer: LCM of Numerators as per given numbers 235/26, 3855/778 is

LCM of Numerators i.e. for 235,3855 is 181185

GCF of denominators i.e. for 26,778 is 2.

Thus, LCM of Fractions is 181185/2.Finally, LCM of Fractions for 235/26, 3855/778 is 181185/2.