Least Common Multiple of 43/982, 861/416, 752/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/982, 861/416, 752/391 quickly i.e. 27841296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/982, 861/416, 752/391 is 27841296.

LCM(43/982, 861/416, 752/391) = 27841296

LCM of 43/982, 861/416, 752/391

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 43/982,861/416,752/391

Given numbers are 43/982,861/416,752/391

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 43,861,752

Least Common Multiple of Numerators i.e. LCM of 43,861,752 is 27841296.

GCF of Denominators means GCF of 982,416,391 as per the given fractions.

GCF of 982,416,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,861,752

LCM of Fractions 43/982,861/416,752/391 is 27841296

Given numbers has no common factors except 1. So, there LCM is their product i.e 27841296

Least Common Multiple of 43,861,752 with GCF Formula

Least Common Multiple of 43,861,752 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 43,861,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,861,752) = 1

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

GCF(43,861,752) x common factors =1 x 1 = 1

LCM(43,861,752) = ( 43 × 861 × 752 ) / 1

LCM(43,861,752) = 27841296 / 1

LCM(43,861,752) = 27841296


Lets's calculate GCF of 982,416,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27841296/1

Therefore the LCM of Fractions 43/982,861/416,752/391 is 27841296

Greatest Common Factor of 982,416,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,416,391 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 982,416,391 . The biggest common factor number is the GCF number.
So the greatest common factor 982,416,391 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/982, 861/416, 752/391

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 43/982, 861/416, 752/391?

Answer: LCM of Numerators as per given numbers 43/982, 861/416, 752/391 is

LCM of Numerators i.e. for 43,861,752 is 27841296

GCF of denominators i.e. for 982,416,391 is 1.

Thus, LCM of Fractions is 27841296.Finally, LCM of Fractions for 43/982, 861/416, 752/391 is 27841296.