Least Common Multiple of 112/26, 205/84, 619/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/26, 205/84, 619/904 quickly i.e. 7106120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/26, 205/84, 619/904 is 7106120.

LCM(112/26, 205/84, 619/904) = 7106120

LCM of 112/26, 205/84, 619/904

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 112/26,205/84,619/904

Given numbers are 112/26,205/84,619/904

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 112,205,619

Least Common Multiple of Numerators i.e. LCM of 112,205,619 is 14212240.

GCF of Denominators means GCF of 26,84,904 as per the given fractions.

GCF of 26,84,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,205,619

LCM of Fractions 112/26,205/84,619/904 is 7106120

Given numbers has no common factors except 1. So, there LCM is their product i.e 14212240

Least Common Multiple of 112,205,619 with GCF Formula

Least Common Multiple of 112,205,619 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 112,205,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,205,619) = 1

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

GCF(112,205,619) x common factors =1 x 1 = 1

LCM(112,205,619) = ( 112 × 205 × 619 ) / 1

LCM(112,205,619) = 14212240 / 1

LCM(112,205,619) = 14212240


Lets's calculate GCF of 26,84,904

2 26, 84, 904
13, 42, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14212240/2

Therefore the LCM of Fractions 112/26,205/84,619/904 is 7106120

Greatest Common Factor of 26,84,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,84,904 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 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 26,84,904 . The biggest common factor number is the GCF number.
So the greatest common factor 26,84,904 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 112/26, 205/84, 619/904

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 112/26, 205/84, 619/904?

Answer: LCM of Numerators as per given numbers 112/26, 205/84, 619/904 is

LCM of Numerators i.e. for 112,205,619 is 14212240

GCF of denominators i.e. for 26,84,904 is 2.

Thus, LCM of Fractions is 7106120.Finally, LCM of Fractions for 112/26, 205/84, 619/904 is 7106120.