Least Common Multiple of 35/183, 421/627, 362/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/183, 421/627, 362/320 quickly i.e. 5334070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/183, 421/627, 362/320 is 5334070.

LCM(35/183, 421/627, 362/320) = 5334070

LCM of 35/183, 421/627, 362/320

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 35/183,421/627,362/320

Given numbers are 35/183,421/627,362/320

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 35,421,362

Least Common Multiple of Numerators i.e. LCM of 35,421,362 is 5334070.

GCF of Denominators means GCF of 183,627,320 as per the given fractions.

GCF of 183,627,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,421,362

LCM of Fractions 35/183,421/627,362/320 is 5334070

Given numbers has no common factors except 1. So, there LCM is their product i.e 5334070

Least Common Multiple of 35,421,362 with GCF Formula

Least Common Multiple of 35,421,362 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 35,421,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,421,362) = 1

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

GCF(35,421,362) x common factors =1 x 1 = 1

LCM(35,421,362) = ( 35 × 421 × 362 ) / 1

LCM(35,421,362) = 5334070 / 1

LCM(35,421,362) = 5334070


Lets's calculate GCF of 183,627,320

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5334070/1

Therefore the LCM of Fractions 35/183,421/627,362/320 is 5334070

Greatest Common Factor of 183,627,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,627,320 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

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

Greatest Common Factor

We found the factors 183,627,320 . The biggest common factor number is the GCF number.
So the greatest common factor 183,627,320 is 1.


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 35/183, 421/627, 362/320

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 35/183, 421/627, 362/320?

Answer: LCM of Numerators as per given numbers 35/183, 421/627, 362/320 is

LCM of Numerators i.e. for 35,421,362 is 5334070

GCF of denominators i.e. for 183,627,320 is 1.

Thus, LCM of Fractions is 5334070.Finally, LCM of Fractions for 35/183, 421/627, 362/320 is 5334070.