Least Common Multiple of 69/554, 589/829, 442/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/554, 589/829, 442/365 quickly i.e. 17963322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/554, 589/829, 442/365 is 17963322.

LCM(69/554, 589/829, 442/365) = 17963322

LCM of 69/554, 589/829, 442/365

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 69/554,589/829,442/365

Given numbers are 69/554,589/829,442/365

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 69,589,442

Least Common Multiple of Numerators i.e. LCM of 69,589,442 is 17963322.

GCF of Denominators means GCF of 554,829,365 as per the given fractions.

GCF of 554,829,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,589,442

LCM of Fractions 69/554,589/829,442/365 is 17963322

Given numbers has no common factors except 1. So, there LCM is their product i.e 17963322

Least Common Multiple of 69,589,442 with GCF Formula

Least Common Multiple of 69,589,442 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 69,589,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,589,442) = 1

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

GCF(69,589,442) x common factors =1 x 1 = 1

LCM(69,589,442) = ( 69 × 589 × 442 ) / 1

LCM(69,589,442) = 17963322 / 1

LCM(69,589,442) = 17963322


Lets's calculate GCF of 554,829,365

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17963322/1

Therefore the LCM of Fractions 69/554,589/829,442/365 is 17963322

Greatest Common Factor of 554,829,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,829,365 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 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 554,829,365 . The biggest common factor number is the GCF number.
So the greatest common factor 554,829,365 is 1.


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 69/554, 589/829, 442/365

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 69/554, 589/829, 442/365?

Answer: LCM of Numerators as per given numbers 69/554, 589/829, 442/365 is

LCM of Numerators i.e. for 69,589,442 is 17963322

GCF of denominators i.e. for 554,829,365 is 1.

Thus, LCM of Fractions is 17963322.Finally, LCM of Fractions for 69/554, 589/829, 442/365 is 17963322.