Least Common Multiple of 45/584, 141/185, 444/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/584, 141/185, 444/561 quickly i.e. 313020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/584, 141/185, 444/561 is 313020.

LCM(45/584, 141/185, 444/561) = 313020

LCM of 45/584, 141/185, 444/561

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 45/584,141/185,444/561

Given numbers are 45/584,141/185,444/561

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 45,141,444

Least Common Multiple of Numerators i.e. LCM of 45,141,444 is 313020.

GCF of Denominators means GCF of 584,185,561 as per the given fractions.

GCF of 584,185,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,141,444

LCM of Fractions 45/584,141/185,444/561 is 313020

3 45, 141, 444
15, 47, 148

∴ So the LCM of the given numbers is 3 x 15 x 47 x 148 = 313020

Least Common Multiple of 45,141,444 with GCF Formula

Least Common Multiple of 45,141,444 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 45,141,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,141,444) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(45,141,444) x common factors =3 x 3 = 9

LCM(45,141,444) = ( 45 × 141 × 444 ) / 9

LCM(45,141,444) = 2817180 / 9

LCM(45,141,444) = 313020


Lets's calculate GCF of 584,185,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313020/1

Therefore the LCM of Fractions 45/584,141/185,444/561 is 313020

Greatest Common Factor of 584,185,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,185,561 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 584,185,561 . The biggest common factor number is the GCF number.
So the greatest common factor 584,185,561 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 45/584, 141/185, 444/561

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 45/584, 141/185, 444/561?

Answer: LCM of Numerators as per given numbers 45/584, 141/185, 444/561 is

LCM of Numerators i.e. for 45,141,444 is 313020

GCF of denominators i.e. for 584,185,561 is 1.

Thus, LCM of Fractions is 313020.Finally, LCM of Fractions for 45/584, 141/185, 444/561 is 313020.