Least Common Multiple of 465/40, 688/4594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/40, 688/4594 quickly i.e. 159960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/40, 688/4594 is 159960.

LCM(465/40, 688/4594) = 159960

LCM of 465/40, 688/4594

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 465/40,688/4594

Given numbers are 465/40,688/4594

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 465,688

Least Common Multiple of Numerators i.e. LCM of 465,688 is 319920.

GCF of Denominators means GCF of 40,4594 as per the given fractions.

GCF of 40,4594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,688

LCM of Fractions 465/40,688/4594 is 159960

Given numbers has no common factors except 1. So, there LCM is their product i.e 319920

Least Common Multiple of 465,688 with GCF Formula

Least Common Multiple of 465,688 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 465,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,688) = 1

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

GCF(465,688) x common factors =1 x 1 = 1

LCM(465,688) = ( 465 × 688 ) / 1

LCM(465,688) = 319920 / 1

LCM(465,688) = 319920


Lets's calculate GCF of 40,4594

2 40, 4594
20, 2297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319920/2

Therefore the LCM of Fractions 465/40,688/4594 is 159960

Greatest Common Factor of 40,4594 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4594 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4594

List of positive integer factors of 4594 that divides 4594 without a remainder.

1,2,2297,4594

Greatest Common Factor

We found the factors 40,4594 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4594 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 465/40, 688/4594

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 465/40, 688/4594?

Answer: LCM of Numerators as per given numbers 465/40, 688/4594 is

LCM of Numerators i.e. for 465,688 is 319920

GCF of denominators i.e. for 40,4594 is 2.

Thus, LCM of Fractions is 159960.Finally, LCM of Fractions for 465/40, 688/4594 is 159960.