Least Common Multiple of 655/440, 2554/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 655/440, 2554/360 quickly i.e. 1672870/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 655/440, 2554/360 is 1672870/40.

LCM(655/440, 2554/360) = 1672870/40

LCM of 655/440, 2554/360

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 655/440,2554/360

Given numbers are 655/440,2554/360

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 655,2554

Least Common Multiple of Numerators i.e. LCM of 655,2554 is 1672870.

GCF of Denominators means GCF of 440,360 as per the given fractions.

GCF of 440,360 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 655,2554

LCM of Fractions 655/440,2554/360 is 1672870/40

Given numbers has no common factors except 1. So, there LCM is their product i.e 1672870

Least Common Multiple of 655,2554 with GCF Formula

Least Common Multiple of 655,2554 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 655,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,2554) = 1

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

GCF(655,2554) x common factors =1 x 1 = 1

LCM(655,2554) = ( 655 × 2554 ) / 1

LCM(655,2554) = 1672870 / 1

LCM(655,2554) = 1672870


Lets's calculate GCF of 440,360

2 440, 360
2 220, 180
2 110, 90
5 55, 45
11, 9

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1672870/40

Therefore the LCM of Fractions 655/440,2554/360 is 1672870/40

Greatest Common Factor of 440,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,360 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 440,360 . The biggest common factor number is the GCF number.
So the greatest common factor 440,360 is 40.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 655/440, 2554/360

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 655/440, 2554/360?

Answer: LCM of Numerators as per given numbers 655/440, 2554/360 is

LCM of Numerators i.e. for 655,2554 is 1672870

GCF of denominators i.e. for 440,360 is 40.

Thus, LCM of Fractions is 1672870/40.Finally, LCM of Fractions for 655/440, 2554/360 is 1672870/40.