Least Common Multiple of 185/188, 1095/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/188, 1095/892 quickly i.e. 40515/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/188, 1095/892 is 40515/4.

LCM(185/188, 1095/892) = 40515/4

LCM of 185/188, 1095/892

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 185/188,1095/892

Given numbers are 185/188,1095/892

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 185,1095

Least Common Multiple of Numerators i.e. LCM of 185,1095 is 40515.

GCF of Denominators means GCF of 188,892 as per the given fractions.

GCF of 188,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,1095

LCM of Fractions 185/188,1095/892 is 40515/4

5 185, 1095
37, 219

∴ So the LCM of the given numbers is 5 x 37 x 219 = 40515

Least Common Multiple of 185,1095 with GCF Formula

Least Common Multiple of 185,1095 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 185,1095 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,1095) = 5

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

GCF(185,1095) x common factors =5 x 1 = 5

LCM(185,1095) = ( 185 × 1095 ) / 5

LCM(185,1095) = 202575 / 5

LCM(185,1095) = 40515


Lets's calculate GCF of 188,892

2 188, 892
2 94, 446
47, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40515/4

Therefore the LCM of Fractions 185/188,1095/892 is 40515/4

Greatest Common Factor of 188,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,892 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 188,892 . The biggest common factor number is the GCF number.
So the greatest common factor 188,892 is 4.


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 185/188, 1095/892

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 185/188, 1095/892?

Answer: LCM of Numerators as per given numbers 185/188, 1095/892 is

LCM of Numerators i.e. for 185,1095 is 40515

GCF of denominators i.e. for 188,892 is 4.

Thus, LCM of Fractions is 40515/4.Finally, LCM of Fractions for 185/188, 1095/892 is 40515/4.