Least Common Multiple of 545/84, 582/1334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 545/84, 582/1334 quickly i.e. 158595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 545/84, 582/1334 is 158595.

LCM(545/84, 582/1334) = 158595

LCM of 545/84, 582/1334

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 545/84,582/1334

Given numbers are 545/84,582/1334

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 545,582

Least Common Multiple of Numerators i.e. LCM of 545,582 is 317190.

GCF of Denominators means GCF of 84,1334 as per the given fractions.

GCF of 84,1334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 545,582

LCM of Fractions 545/84,582/1334 is 158595

Given numbers has no common factors except 1. So, there LCM is their product i.e 317190

Least Common Multiple of 545,582 with GCF Formula

Least Common Multiple of 545,582 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 545,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,582) = 1

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

GCF(545,582) x common factors =1 x 1 = 1

LCM(545,582) = ( 545 × 582 ) / 1

LCM(545,582) = 317190 / 1

LCM(545,582) = 317190


Lets's calculate GCF of 84,1334

2 84, 1334
42, 667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317190/2

Therefore the LCM of Fractions 545/84,582/1334 is 158595

Greatest Common Factor of 84,1334 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1334 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1334

List of positive integer factors of 1334 that divides 1334 without a remainder.

1,2,23,29,46,58,667,1334

Greatest Common Factor

We found the factors 84,1334 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1334 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 545/84, 582/1334

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 545/84, 582/1334?

Answer: LCM of Numerators as per given numbers 545/84, 582/1334 is

LCM of Numerators i.e. for 545,582 is 317190

GCF of denominators i.e. for 84,1334 is 2.

Thus, LCM of Fractions is 158595.Finally, LCM of Fractions for 545/84, 582/1334 is 158595.