Least Common Multiple of 645/55, 178/25, 223/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/55, 178/25, 223/355 quickly i.e. 5120526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/55, 178/25, 223/355 is 5120526.

LCM(645/55, 178/25, 223/355) = 5120526

LCM of 645/55, 178/25, 223/355

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 645/55,178/25,223/355

Given numbers are 645/55,178/25,223/355

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 645,178,223

Least Common Multiple of Numerators i.e. LCM of 645,178,223 is 25602630.

GCF of Denominators means GCF of 55,25,355 as per the given fractions.

GCF of 55,25,355 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,178,223

LCM of Fractions 645/55,178/25,223/355 is 5120526

Given numbers has no common factors except 1. So, there LCM is their product i.e 25602630

Least Common Multiple of 645,178,223 with GCF Formula

Least Common Multiple of 645,178,223 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 645,178,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,178,223) = 1

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

GCF(645,178,223) x common factors =1 x 1 = 1

LCM(645,178,223) = ( 645 × 178 × 223 ) / 1

LCM(645,178,223) = 25602630 / 1

LCM(645,178,223) = 25602630


Lets's calculate GCF of 55,25,355

5 55, 25, 355
11, 5, 71

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25602630/5

Therefore the LCM of Fractions 645/55,178/25,223/355 is 5120526

Greatest Common Factor of 55,25,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,25,355 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 55,25,355 . The biggest common factor number is the GCF number.
So the greatest common factor 55,25,355 is 5.


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 645/55, 178/25, 223/355

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 645/55, 178/25, 223/355?

Answer: LCM of Numerators as per given numbers 645/55, 178/25, 223/355 is

LCM of Numerators i.e. for 645,178,223 is 25602630

GCF of denominators i.e. for 55,25,355 is 5.

Thus, LCM of Fractions is 5120526.Finally, LCM of Fractions for 645/55, 178/25, 223/355 is 5120526.