Least Common Multiple of 92/210, 3825/2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/210, 3825/2272 quickly i.e. 175950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/210, 3825/2272 is 175950.

LCM(92/210, 3825/2272) = 175950

LCM of 92/210, 3825/2272

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 92/210,3825/2272

Given numbers are 92/210,3825/2272

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 92,3825

Least Common Multiple of Numerators i.e. LCM of 92,3825 is 351900.

GCF of Denominators means GCF of 210,2272 as per the given fractions.

GCF of 210,2272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,3825

LCM of Fractions 92/210,3825/2272 is 175950

Given numbers has no common factors except 1. So, there LCM is their product i.e 351900

Least Common Multiple of 92,3825 with GCF Formula

Least Common Multiple of 92,3825 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 92,3825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,3825) = 1

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

GCF(92,3825) x common factors =1 x 1 = 1

LCM(92,3825) = ( 92 × 3825 ) / 1

LCM(92,3825) = 351900 / 1

LCM(92,3825) = 351900


Lets's calculate GCF of 210,2272

2 210, 2272
105, 1136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351900/2

Therefore the LCM of Fractions 92/210,3825/2272 is 175950

Greatest Common Factor of 210,2272 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,2272 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

Greatest Common Factor

We found the factors 210,2272 . The biggest common factor number is the GCF number.
So the greatest common factor 210,2272 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 92/210, 3825/2272

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 92/210, 3825/2272?

Answer: LCM of Numerators as per given numbers 92/210, 3825/2272 is

LCM of Numerators i.e. for 92,3825 is 351900

GCF of denominators i.e. for 210,2272 is 2.

Thus, LCM of Fractions is 175950.Finally, LCM of Fractions for 92/210, 3825/2272 is 175950.