Least Common Multiple of 4500/596, 9350/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4500/596, 9350/195 quickly i.e. 841500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4500/596, 9350/195 is 841500.

LCM(4500/596, 9350/195) = 841500

LCM of 4500/596, 9350/195

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 4500/596,9350/195

Given numbers are 4500/596,9350/195

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 4500,9350

Least Common Multiple of Numerators i.e. LCM of 4500,9350 is 841500.

GCF of Denominators means GCF of 596,195 as per the given fractions.

GCF of 596,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4500,9350

LCM of Fractions 4500/596,9350/195 is 841500

2 4500, 9350
5 2250, 4675
5 450, 935
90, 187

∴ So the LCM of the given numbers is 2 x 5 x 5 x 90 x 187 = 841500

Least Common Multiple of 4500,9350 with GCF Formula

Least Common Multiple of 4500,9350 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 4500,9350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4500,9350) = 50

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

GCF(4500,9350) x common factors =50 x 1 = 50

LCM(4500,9350) = ( 4500 × 9350 ) / 50

LCM(4500,9350) = 42075000 / 50

LCM(4500,9350) = 841500


Lets's calculate GCF of 596,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841500/1

Therefore the LCM of Fractions 4500/596,9350/195 is 841500

Greatest Common Factor of 596,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,195 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 596,195 . The biggest common factor number is the GCF number.
So the greatest common factor 596,195 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 4500/596, 9350/195

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 4500/596, 9350/195?

Answer: LCM of Numerators as per given numbers 4500/596, 9350/195 is

LCM of Numerators i.e. for 4500,9350 is 841500

GCF of denominators i.e. for 596,195 is 1.

Thus, LCM of Fractions is 841500.Finally, LCM of Fractions for 4500/596, 9350/195 is 841500.