Least Common Multiple of 16/554, 1550/7398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/554, 1550/7398 quickly i.e. 6200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/554, 1550/7398 is 6200.

LCM(16/554, 1550/7398) = 6200

LCM of 16/554, 1550/7398

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 16/554,1550/7398

Given numbers are 16/554,1550/7398

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 16,1550

Least Common Multiple of Numerators i.e. LCM of 16,1550 is 12400.

GCF of Denominators means GCF of 554,7398 as per the given fractions.

GCF of 554,7398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,1550

LCM of Fractions 16/554,1550/7398 is 6200

2 16, 1550
8, 775

∴ So the LCM of the given numbers is 2 x 8 x 775 = 12400

Least Common Multiple of 16,1550 with GCF Formula

Least Common Multiple of 16,1550 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 16,1550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,1550) = 2

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

GCF(16,1550) x common factors =2 x 1 = 2

LCM(16,1550) = ( 16 × 1550 ) / 2

LCM(16,1550) = 24800 / 2

LCM(16,1550) = 12400


Lets's calculate GCF of 554,7398

2 554, 7398
277, 3699

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12400/2

Therefore the LCM of Fractions 16/554,1550/7398 is 6200

Greatest Common Factor of 554,7398 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,7398 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398

Greatest Common Factor

We found the factors 554,7398 . The biggest common factor number is the GCF number.
So the greatest common factor 554,7398 is 2.


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 16/554, 1550/7398

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 16/554, 1550/7398?

Answer: LCM of Numerators as per given numbers 16/554, 1550/7398 is

LCM of Numerators i.e. for 16,1550 is 12400

GCF of denominators i.e. for 554,7398 is 2.

Thus, LCM of Fractions is 6200.Finally, LCM of Fractions for 16/554, 1550/7398 is 6200.