Least Common Multiple of 185/730, 9762/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/730, 9762/200 quickly i.e. 180597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/730, 9762/200 is 180597.

LCM(185/730, 9762/200) = 180597

LCM of 185/730, 9762/200

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 185/730,9762/200

Given numbers are 185/730,9762/200

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 185,9762

Least Common Multiple of Numerators i.e. LCM of 185,9762 is 1805970.

GCF of Denominators means GCF of 730,200 as per the given fractions.

GCF of 730,200 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,9762

LCM of Fractions 185/730,9762/200 is 180597

Given numbers has no common factors except 1. So, there LCM is their product i.e 1805970

Least Common Multiple of 185,9762 with GCF Formula

Least Common Multiple of 185,9762 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 185,9762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,9762) = 1

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

GCF(185,9762) x common factors =1 x 1 = 1

LCM(185,9762) = ( 185 × 9762 ) / 1

LCM(185,9762) = 1805970 / 1

LCM(185,9762) = 1805970


Lets's calculate GCF of 730,200

2 730, 200
5 365, 100
73, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1805970/10

Therefore the LCM of Fractions 185/730,9762/200 is 180597

Greatest Common Factor of 730,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,200 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

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 730,200 . The biggest common factor number is the GCF number.
So the greatest common factor 730,200 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 185/730, 9762/200

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 185/730, 9762/200?

Answer: LCM of Numerators as per given numbers 185/730, 9762/200 is

LCM of Numerators i.e. for 185,9762 is 1805970

GCF of denominators i.e. for 730,200 is 10.

Thus, LCM of Fractions is 180597.Finally, LCM of Fractions for 185/730, 9762/200 is 180597.