Least Common Multiple of 32/554, 2222/2498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/554, 2222/2498 quickly i.e. 17776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/554, 2222/2498 is 17776.

LCM(32/554, 2222/2498) = 17776

LCM of 32/554, 2222/2498

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 32/554,2222/2498

Given numbers are 32/554,2222/2498

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 32,2222

Least Common Multiple of Numerators i.e. LCM of 32,2222 is 35552.

GCF of Denominators means GCF of 554,2498 as per the given fractions.

GCF of 554,2498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,2222

LCM of Fractions 32/554,2222/2498 is 17776

2 32, 2222
16, 1111

∴ So the LCM of the given numbers is 2 x 16 x 1111 = 35552

Least Common Multiple of 32,2222 with GCF Formula

Least Common Multiple of 32,2222 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 32,2222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,2222) = 2

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

GCF(32,2222) x common factors =2 x 1 = 2

LCM(32,2222) = ( 32 × 2222 ) / 2

LCM(32,2222) = 71104 / 2

LCM(32,2222) = 35552


Lets's calculate GCF of 554,2498

2 554, 2498
277, 1249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35552/2

Therefore the LCM of Fractions 32/554,2222/2498 is 17776

Greatest Common Factor of 554,2498 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,2498 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 2498

List of positive integer factors of 2498 that divides 2498 without a remainder.

1,2,1249,2498

Greatest Common Factor

We found the factors 554,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 554,2498 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 32/554, 2222/2498

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 32/554, 2222/2498?

Answer: LCM of Numerators as per given numbers 32/554, 2222/2498 is

LCM of Numerators i.e. for 32,2222 is 35552

GCF of denominators i.e. for 554,2498 is 2.

Thus, LCM of Fractions is 17776.Finally, LCM of Fractions for 32/554, 2222/2498 is 17776.