Least Common Multiple of 981/46, 985/55, 397/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 981/46, 985/55, 397/433 quickly i.e. 383615145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 981/46, 985/55, 397/433 is 383615145.

LCM(981/46, 985/55, 397/433) = 383615145

LCM of 981/46, 985/55, 397/433

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 981/46,985/55,397/433

Given numbers are 981/46,985/55,397/433

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 981,985,397

Least Common Multiple of Numerators i.e. LCM of 981,985,397 is 383615145.

GCF of Denominators means GCF of 46,55,433 as per the given fractions.

GCF of 46,55,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 981,985,397

LCM of Fractions 981/46,985/55,397/433 is 383615145

Given numbers has no common factors except 1. So, there LCM is their product i.e 383615145

Least Common Multiple of 981,985,397 with GCF Formula

Least Common Multiple of 981,985,397 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 981,985,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,985,397) = 1

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

GCF(981,985,397) x common factors =1 x 1 = 1

LCM(981,985,397) = ( 981 × 985 × 397 ) / 1

LCM(981,985,397) = 383615145 / 1

LCM(981,985,397) = 383615145


Lets's calculate GCF of 46,55,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383615145/1

Therefore the LCM of Fractions 981/46,985/55,397/433 is 383615145

Greatest Common Factor of 46,55,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,55,433 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 433

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

1,433

Greatest Common Factor

We found the factors 46,55,433 . The biggest common factor number is the GCF number.
So the greatest common factor 46,55,433 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 981/46, 985/55, 397/433

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 981/46, 985/55, 397/433?

Answer: LCM of Numerators as per given numbers 981/46, 985/55, 397/433 is

LCM of Numerators i.e. for 981,985,397 is 383615145

GCF of denominators i.e. for 46,55,433 is 1.

Thus, LCM of Fractions is 383615145.Finally, LCM of Fractions for 981/46, 985/55, 397/433 is 383615145.