Least Common Multiple of 1564/722, 9368/5498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1564/722, 9368/5498 quickly i.e. 1831444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1564/722, 9368/5498 is 1831444.

LCM(1564/722, 9368/5498) = 1831444

LCM of 1564/722, 9368/5498

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 1564/722,9368/5498

Given numbers are 1564/722,9368/5498

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 1564,9368

Least Common Multiple of Numerators i.e. LCM of 1564,9368 is 3662888.

GCF of Denominators means GCF of 722,5498 as per the given fractions.

GCF of 722,5498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1564,9368

LCM of Fractions 1564/722,9368/5498 is 1831444

2 1564, 9368
2 782, 4684
391, 2342

∴ So the LCM of the given numbers is 2 x 2 x 391 x 2342 = 3662888

Least Common Multiple of 1564,9368 with GCF Formula

Least Common Multiple of 1564,9368 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 1564,9368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1564,9368) = 4

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

GCF(1564,9368) x common factors =4 x 1 = 4

LCM(1564,9368) = ( 1564 × 9368 ) / 4

LCM(1564,9368) = 14651552 / 4

LCM(1564,9368) = 3662888


Lets's calculate GCF of 722,5498

2 722, 5498
361, 2749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3662888/2

Therefore the LCM of Fractions 1564/722,9368/5498 is 1831444

Greatest Common Factor of 722,5498 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,5498 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1,2,2749,5498

Greatest Common Factor

We found the factors 722,5498 . The biggest common factor number is the GCF number.
So the greatest common factor 722,5498 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 1564/722, 9368/5498

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 1564/722, 9368/5498?

Answer: LCM of Numerators as per given numbers 1564/722, 9368/5498 is

LCM of Numerators i.e. for 1564,9368 is 3662888

GCF of denominators i.e. for 722,5498 is 2.

Thus, LCM of Fractions is 1831444.Finally, LCM of Fractions for 1564/722, 9368/5498 is 1831444.