Least Common Multiple of 393/433, 971/936, 971/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 393/433, 971/936, 971/970 quickly i.e. 381603 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 393/433, 971/936, 971/970 is 381603.

LCM(393/433, 971/936, 971/970) = 381603

LCM of 393/433, 971/936, 971/970

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 393/433,971/936,971/970

Given numbers are 393/433,971/936,971/970

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 393,971,971

Least Common Multiple of Numerators i.e. LCM of 393,971,971 is 381603.

GCF of Denominators means GCF of 433,936,970 as per the given fractions.

GCF of 433,936,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 393,971,971

LCM of Fractions 393/433,971/936,971/970 is 381603

971 393, 971, 971
393, 1, 1

∴ So the LCM of the given numbers is 971 x 393 x 1 x 1 = 381603

Least Common Multiple of 393,971,971 with GCF Formula

Least Common Multiple of 393,971,971 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 393,971,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,971,971) = 1

common factors(in case of two or more numbers have common factors) = 971

GCF(393,971,971) x common factors =1 x 971 = 971

LCM(393,971,971) = ( 393 × 971 × 971 ) / 971

LCM(393,971,971) = 370536513 / 971

LCM(393,971,971) = 381603


Lets's calculate GCF of 433,936,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381603/1

Therefore the LCM of Fractions 393/433,971/936,971/970 is 381603

Greatest Common Factor of 433,936,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,936,970 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 433,936,970 . The biggest common factor number is the GCF number.
So the greatest common factor 433,936,970 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 393/433, 971/936, 971/970

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 393/433, 971/936, 971/970?

Answer: LCM of Numerators as per given numbers 393/433, 971/936, 971/970 is

LCM of Numerators i.e. for 393,971,971 is 381603

GCF of denominators i.e. for 433,936,970 is 1.

Thus, LCM of Fractions is 381603.Finally, LCM of Fractions for 393/433, 971/936, 971/970 is 381603.