Least Common Multiple of 997/840, 4083/9387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 997/840, 4083/9387 quickly i.e. 4070751/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/840, 4083/9387 is 4070751/21.

LCM(997/840, 4083/9387) = 4070751/21

LCM of 997/840, 4083/9387

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 997/840,4083/9387

Given numbers are 997/840,4083/9387

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 997,4083

Least Common Multiple of Numerators i.e. LCM of 997,4083 is 4070751.

GCF of Denominators means GCF of 840,9387 as per the given fractions.

GCF of 840,9387 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,4083

LCM of Fractions 997/840,4083/9387 is 4070751/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 4070751

Least Common Multiple of 997,4083 with GCF Formula

Least Common Multiple of 997,4083 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 997,4083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,4083) = 1

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

GCF(997,4083) x common factors =1 x 1 = 1

LCM(997,4083) = ( 997 × 4083 ) / 1

LCM(997,4083) = 4070751 / 1

LCM(997,4083) = 4070751


Lets's calculate GCF of 840,9387

3 840, 9387
7 280, 3129
40, 447

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4070751/21

Therefore the LCM of Fractions 997/840,4083/9387 is 4070751/21

Greatest Common Factor of 840,9387 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,9387 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 9387

List of positive integer factors of 9387 that divides 9387 without a remainder.

1,3,7,9,21,63,149,447,1043,1341,3129,9387

Greatest Common Factor

We found the factors 840,9387 . The biggest common factor number is the GCF number.
So the greatest common factor 840,9387 is 21.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 997/840, 4083/9387

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 997/840, 4083/9387?

Answer: LCM of Numerators as per given numbers 997/840, 4083/9387 is

LCM of Numerators i.e. for 997,4083 is 4070751

GCF of denominators i.e. for 840,9387 is 21.

Thus, LCM of Fractions is 4070751/21.Finally, LCM of Fractions for 997/840, 4083/9387 is 4070751/21.