Least Common Multiple of 205/58, 300/1664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/58, 300/1664 quickly i.e. 6150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/58, 300/1664 is 6150.

LCM(205/58, 300/1664) = 6150

LCM of 205/58, 300/1664

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 205/58,300/1664

Given numbers are 205/58,300/1664

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 205,300

Least Common Multiple of Numerators i.e. LCM of 205,300 is 12300.

GCF of Denominators means GCF of 58,1664 as per the given fractions.

GCF of 58,1664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,300

LCM of Fractions 205/58,300/1664 is 6150

5 205, 300
41, 60

∴ So the LCM of the given numbers is 5 x 41 x 60 = 12300

Least Common Multiple of 205,300 with GCF Formula

Least Common Multiple of 205,300 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 205,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,300) = 5

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

GCF(205,300) x common factors =5 x 1 = 5

LCM(205,300) = ( 205 × 300 ) / 5

LCM(205,300) = 61500 / 5

LCM(205,300) = 12300


Lets's calculate GCF of 58,1664

2 58, 1664
29, 832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12300/2

Therefore the LCM of Fractions 205/58,300/1664 is 6150

Greatest Common Factor of 58,1664 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1664 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Greatest Common Factor

We found the factors 58,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1664 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 205/58, 300/1664

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 205/58, 300/1664?

Answer: LCM of Numerators as per given numbers 205/58, 300/1664 is

LCM of Numerators i.e. for 205,300 is 12300

GCF of denominators i.e. for 58,1664 is 2.

Thus, LCM of Fractions is 6150.Finally, LCM of Fractions for 205/58, 300/1664 is 6150.