Least Common Multiple of 75/93, 610/60, 300/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/93, 610/60, 300/200 quickly i.e. 18300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/93, 610/60, 300/200 is 18300.

LCM(75/93, 610/60, 300/200) = 18300

LCM of 75/93, 610/60, 300/200

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 75/93,610/60,300/200

Given numbers are 75/93,610/60,300/200

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 75,610,300

Least Common Multiple of Numerators i.e. LCM of 75,610,300 is 18300.

GCF of Denominators means GCF of 93,60,200 as per the given fractions.

GCF of 93,60,200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,610,300

LCM of Fractions 75/93,610/60,300/200 is 18300

2 75, 610, 300
3 75, 305, 150
5 25, 305, 50
5 5, 61, 10
1, 61, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 61 x 2 = 18300

Least Common Multiple of 75,610,300 with GCF Formula

Least Common Multiple of 75,610,300 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 75,610,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,610,300) = 5

common factors(in case of two or more numbers have common factors) = 150

GCF(75,610,300) x common factors =5 x 150 = 750

LCM(75,610,300) = ( 75 × 610 × 300 ) / 750

LCM(75,610,300) = 13725000 / 750

LCM(75,610,300) = 18300


Lets's calculate GCF of 93,60,200

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18300/1

Therefore the LCM of Fractions 75/93,610/60,300/200 is 18300

Greatest Common Factor of 93,60,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,60,200 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 93,60,200 . The biggest common factor number is the GCF number.
So the greatest common factor 93,60,200 is 1.


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 75/93, 610/60, 300/200

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 75/93, 610/60, 300/200?

Answer: LCM of Numerators as per given numbers 75/93, 610/60, 300/200 is

LCM of Numerators i.e. for 75,610,300 is 18300

GCF of denominators i.e. for 93,60,200 is 1.

Thus, LCM of Fractions is 18300.Finally, LCM of Fractions for 75/93, 610/60, 300/200 is 18300.