Least Common Multiple of 1585/548, 4575/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1585/548, 4575/704 quickly i.e. 1450275/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1585/548, 4575/704 is 1450275/4.

LCM(1585/548, 4575/704) = 1450275/4

LCM of 1585/548, 4575/704

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 1585/548,4575/704

Given numbers are 1585/548,4575/704

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 1585,4575

Least Common Multiple of Numerators i.e. LCM of 1585,4575 is 1450275.

GCF of Denominators means GCF of 548,704 as per the given fractions.

GCF of 548,704 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1585,4575

LCM of Fractions 1585/548,4575/704 is 1450275/4

5 1585, 4575
317, 915

∴ So the LCM of the given numbers is 5 x 317 x 915 = 1450275

Least Common Multiple of 1585,4575 with GCF Formula

Least Common Multiple of 1585,4575 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 1585,4575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1585,4575) = 5

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

GCF(1585,4575) x common factors =5 x 1 = 5

LCM(1585,4575) = ( 1585 × 4575 ) / 5

LCM(1585,4575) = 7251375 / 5

LCM(1585,4575) = 1450275


Lets's calculate GCF of 548,704

2 548, 704
2 274, 352
137, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1450275/4

Therefore the LCM of Fractions 1585/548,4575/704 is 1450275/4

Greatest Common Factor of 548,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,704 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 548,704 . The biggest common factor number is the GCF number.
So the greatest common factor 548,704 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 1585/548, 4575/704

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 1585/548, 4575/704?

Answer: LCM of Numerators as per given numbers 1585/548, 4575/704 is

LCM of Numerators i.e. for 1585,4575 is 1450275

GCF of denominators i.e. for 548,704 is 4.

Thus, LCM of Fractions is 1450275/4.Finally, LCM of Fractions for 1585/548, 4575/704 is 1450275/4.