Least Common Multiple of 554/27, 2998/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 554/27, 2998/984 quickly i.e. 830446/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 554/27, 2998/984 is 830446/3.

LCM(554/27, 2998/984) = 830446/3

LCM of 554/27, 2998/984

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 554/27,2998/984

Given numbers are 554/27,2998/984

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 554,2998

Least Common Multiple of Numerators i.e. LCM of 554,2998 is 830446.

GCF of Denominators means GCF of 27,984 as per the given fractions.

GCF of 27,984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 554,2998

LCM of Fractions 554/27,2998/984 is 830446/3

2 554, 2998
277, 1499

∴ So the LCM of the given numbers is 2 x 277 x 1499 = 830446

Least Common Multiple of 554,2998 with GCF Formula

Least Common Multiple of 554,2998 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 554,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,2998) = 2

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

GCF(554,2998) x common factors =2 x 1 = 2

LCM(554,2998) = ( 554 × 2998 ) / 2

LCM(554,2998) = 1660892 / 2

LCM(554,2998) = 830446


Lets's calculate GCF of 27,984

3 27, 984
9, 328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830446/3

Therefore the LCM of Fractions 554/27,2998/984 is 830446/3

Greatest Common Factor of 27,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,984 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 27,984 . The biggest common factor number is the GCF number.
So the greatest common factor 27,984 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 554/27, 2998/984

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 554/27, 2998/984?

Answer: LCM of Numerators as per given numbers 554/27, 2998/984 is

LCM of Numerators i.e. for 554,2998 is 830446

GCF of denominators i.e. for 27,984 is 3.

Thus, LCM of Fractions is 830446/3.Finally, LCM of Fractions for 554/27, 2998/984 is 830446/3.