Least Common Multiple of 3655/640, 2250/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3655/640, 2250/310 quickly i.e. 164475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3655/640, 2250/310 is 164475.

LCM(3655/640, 2250/310) = 164475

LCM of 3655/640, 2250/310

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 3655/640,2250/310

Given numbers are 3655/640,2250/310

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 3655,2250

Least Common Multiple of Numerators i.e. LCM of 3655,2250 is 1644750.

GCF of Denominators means GCF of 640,310 as per the given fractions.

GCF of 640,310 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3655,2250

LCM of Fractions 3655/640,2250/310 is 164475

5 3655, 2250
731, 450

∴ So the LCM of the given numbers is 5 x 731 x 450 = 1644750

Least Common Multiple of 3655,2250 with GCF Formula

Least Common Multiple of 3655,2250 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 3655,2250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3655,2250) = 5

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

GCF(3655,2250) x common factors =5 x 1 = 5

LCM(3655,2250) = ( 3655 × 2250 ) / 5

LCM(3655,2250) = 8223750 / 5

LCM(3655,2250) = 1644750


Lets's calculate GCF of 640,310

2 640, 310
5 320, 155
64, 31

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1644750/10

Therefore the LCM of Fractions 3655/640,2250/310 is 164475

Greatest Common Factor of 640,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,310 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 640,310 . The biggest common factor number is the GCF number.
So the greatest common factor 640,310 is 10.


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 3655/640, 2250/310

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 3655/640, 2250/310?

Answer: LCM of Numerators as per given numbers 3655/640, 2250/310 is

LCM of Numerators i.e. for 3655,2250 is 1644750

GCF of denominators i.e. for 640,310 is 10.

Thus, LCM of Fractions is 164475.Finally, LCM of Fractions for 3655/640, 2250/310 is 164475.