Least Common Multiple of 849/933, 1275/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 849/933, 1275/197 quickly i.e. 360825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/933, 1275/197 is 360825.

LCM(849/933, 1275/197) = 360825

LCM of 849/933, 1275/197

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 849/933,1275/197

Given numbers are 849/933,1275/197

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 849,1275

Least Common Multiple of Numerators i.e. LCM of 849,1275 is 360825.

GCF of Denominators means GCF of 933,197 as per the given fractions.

GCF of 933,197 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,1275

LCM of Fractions 849/933,1275/197 is 360825

3 849, 1275
283, 425

∴ So the LCM of the given numbers is 3 x 283 x 425 = 360825

Least Common Multiple of 849,1275 with GCF Formula

Least Common Multiple of 849,1275 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 849,1275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,1275) = 3

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

GCF(849,1275) x common factors =3 x 1 = 3

LCM(849,1275) = ( 849 × 1275 ) / 3

LCM(849,1275) = 1082475 / 3

LCM(849,1275) = 360825


Lets's calculate GCF of 933,197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360825/1

Therefore the LCM of Fractions 849/933,1275/197 is 360825

Greatest Common Factor of 933,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,197 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 933,197 . The biggest common factor number is the GCF number.
So the greatest common factor 933,197 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 849/933, 1275/197

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 849/933, 1275/197?

Answer: LCM of Numerators as per given numbers 849/933, 1275/197 is

LCM of Numerators i.e. for 849,1275 is 360825

GCF of denominators i.e. for 933,197 is 1.

Thus, LCM of Fractions is 360825.Finally, LCM of Fractions for 849/933, 1275/197 is 360825.