Least Common Multiple of 2704/170, 4587/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2704/170, 4587/764 quickly i.e. 6201624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2704/170, 4587/764 is 6201624.

LCM(2704/170, 4587/764) = 6201624

LCM of 2704/170, 4587/764

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 2704/170,4587/764

Given numbers are 2704/170,4587/764

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 2704,4587

Least Common Multiple of Numerators i.e. LCM of 2704,4587 is 12403248.

GCF of Denominators means GCF of 170,764 as per the given fractions.

GCF of 170,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2704,4587

LCM of Fractions 2704/170,4587/764 is 6201624

Given numbers has no common factors except 1. So, there LCM is their product i.e 12403248

Least Common Multiple of 2704,4587 with GCF Formula

Least Common Multiple of 2704,4587 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 2704,4587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2704,4587) = 1

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

GCF(2704,4587) x common factors =1 x 1 = 1

LCM(2704,4587) = ( 2704 × 4587 ) / 1

LCM(2704,4587) = 12403248 / 1

LCM(2704,4587) = 12403248


Lets's calculate GCF of 170,764

2 170, 764
85, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12403248/2

Therefore the LCM of Fractions 2704/170,4587/764 is 6201624

Greatest Common Factor of 170,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,764 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 170,764 . The biggest common factor number is the GCF number.
So the greatest common factor 170,764 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 2704/170, 4587/764

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 2704/170, 4587/764?

Answer: LCM of Numerators as per given numbers 2704/170, 4587/764 is

LCM of Numerators i.e. for 2704,4587 is 12403248

GCF of denominators i.e. for 170,764 is 2.

Thus, LCM of Fractions is 6201624.Finally, LCM of Fractions for 2704/170, 4587/764 is 6201624.