Least Common Multiple of 270/345, 688/745, 801/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/345, 688/745, 801/621 quickly i.e. 8266320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/345, 688/745, 801/621 is 8266320.

LCM(270/345, 688/745, 801/621) = 8266320

LCM of 270/345, 688/745, 801/621

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 270/345,688/745,801/621

Given numbers are 270/345,688/745,801/621

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 270,688,801

Least Common Multiple of Numerators i.e. LCM of 270,688,801 is 8266320.

GCF of Denominators means GCF of 345,745,621 as per the given fractions.

GCF of 345,745,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,688,801

LCM of Fractions 270/345,688/745,801/621 is 8266320

2 270, 688, 801
3 135, 344, 801
3 45, 344, 267
15, 344, 89

∴ So the LCM of the given numbers is 2 x 3 x 3 x 15 x 344 x 89 = 8266320

Least Common Multiple of 270,688,801 with GCF Formula

Least Common Multiple of 270,688,801 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 270,688,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,688,801) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(270,688,801) x common factors =1 x 18 = 18

LCM(270,688,801) = ( 270 × 688 × 801 ) / 18

LCM(270,688,801) = 148793760 / 18

LCM(270,688,801) = 8266320


Lets's calculate GCF of 345,745,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8266320/1

Therefore the LCM of Fractions 270/345,688/745,801/621 is 8266320

Greatest Common Factor of 345,745,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,745,621 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 345,745,621 . The biggest common factor number is the GCF number.
So the greatest common factor 345,745,621 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 270/345, 688/745, 801/621

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 270/345, 688/745, 801/621?

Answer: LCM of Numerators as per given numbers 270/345, 688/745, 801/621 is

LCM of Numerators i.e. for 270,688,801 is 8266320

GCF of denominators i.e. for 345,745,621 is 1.

Thus, LCM of Fractions is 8266320.Finally, LCM of Fractions for 270/345, 688/745, 801/621 is 8266320.