Least Common Multiple of 2800/230, 3732/4170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2800/230, 3732/4170 quickly i.e. 261240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2800/230, 3732/4170 is 261240.

LCM(2800/230, 3732/4170) = 261240

LCM of 2800/230, 3732/4170

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 2800/230,3732/4170

Given numbers are 2800/230,3732/4170

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 2800,3732

Least Common Multiple of Numerators i.e. LCM of 2800,3732 is 2612400.

GCF of Denominators means GCF of 230,4170 as per the given fractions.

GCF of 230,4170 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2800,3732

LCM of Fractions 2800/230,3732/4170 is 261240

2 2800, 3732
2 1400, 1866
700, 933

∴ So the LCM of the given numbers is 2 x 2 x 700 x 933 = 2612400

Least Common Multiple of 2800,3732 with GCF Formula

Least Common Multiple of 2800,3732 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 2800,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2800,3732) = 4

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

GCF(2800,3732) x common factors =4 x 1 = 4

LCM(2800,3732) = ( 2800 × 3732 ) / 4

LCM(2800,3732) = 10449600 / 4

LCM(2800,3732) = 2612400


Lets's calculate GCF of 230,4170

2 230, 4170
5 115, 2085
23, 417

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2612400/10

Therefore the LCM of Fractions 2800/230,3732/4170 is 261240

Greatest Common Factor of 230,4170 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,4170 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 4170

List of positive integer factors of 4170 that divides 4170 without a remainder.

1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170

Greatest Common Factor

We found the factors 230,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 230,4170 is 10.


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 2800/230, 3732/4170

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 2800/230, 3732/4170?

Answer: LCM of Numerators as per given numbers 2800/230, 3732/4170 is

LCM of Numerators i.e. for 2800,3732 is 2612400

GCF of denominators i.e. for 230,4170 is 10.

Thus, LCM of Fractions is 261240.Finally, LCM of Fractions for 2800/230, 3732/4170 is 261240.