Least Common Multiple of 289/692, 5469/9144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/692, 5469/9144 quickly i.e. 1580541/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/692, 5469/9144 is 1580541/4.

LCM(289/692, 5469/9144) = 1580541/4

LCM of 289/692, 5469/9144

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 289/692,5469/9144

Given numbers are 289/692,5469/9144

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 289,5469

Least Common Multiple of Numerators i.e. LCM of 289,5469 is 1580541.

GCF of Denominators means GCF of 692,9144 as per the given fractions.

GCF of 692,9144 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,5469

LCM of Fractions 289/692,5469/9144 is 1580541/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1580541

Least Common Multiple of 289,5469 with GCF Formula

Least Common Multiple of 289,5469 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 289,5469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,5469) = 1

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

GCF(289,5469) x common factors =1 x 1 = 1

LCM(289,5469) = ( 289 × 5469 ) / 1

LCM(289,5469) = 1580541 / 1

LCM(289,5469) = 1580541


Lets's calculate GCF of 692,9144

2 692, 9144
2 346, 4572
173, 2286

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1580541/4

Therefore the LCM of Fractions 289/692,5469/9144 is 1580541/4

Greatest Common Factor of 692,9144 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,9144 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Greatest Common Factor

We found the factors 692,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 692,9144 is 4.


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 289/692, 5469/9144

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 289/692, 5469/9144?

Answer: LCM of Numerators as per given numbers 289/692, 5469/9144 is

LCM of Numerators i.e. for 289,5469 is 1580541

GCF of denominators i.e. for 692,9144 is 4.

Thus, LCM of Fractions is 1580541/4.Finally, LCM of Fractions for 289/692, 5469/9144 is 1580541/4.