Least Common Multiple of 240/37, 354/45, 688/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/37, 354/45, 688/361 quickly i.e. 608880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/37, 354/45, 688/361 is 608880.

LCM(240/37, 354/45, 688/361) = 608880

LCM of 240/37, 354/45, 688/361

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 240/37,354/45,688/361

Given numbers are 240/37,354/45,688/361

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 240,354,688

Least Common Multiple of Numerators i.e. LCM of 240,354,688 is 608880.

GCF of Denominators means GCF of 37,45,361 as per the given fractions.

GCF of 37,45,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,354,688

LCM of Fractions 240/37,354/45,688/361 is 608880

2 240, 354, 688
2 120, 177, 344
2 60, 177, 172
2 30, 177, 86
3 15, 177, 43
5, 59, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 59 x 43 = 608880

Least Common Multiple of 240,354,688 with GCF Formula

Least Common Multiple of 240,354,688 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 240,354,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,354,688) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(240,354,688) x common factors =2 x 48 = 96

LCM(240,354,688) = ( 240 × 354 × 688 ) / 96

LCM(240,354,688) = 58452480 / 96

LCM(240,354,688) = 608880


Lets's calculate GCF of 37,45,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608880/1

Therefore the LCM of Fractions 240/37,354/45,688/361 is 608880

Greatest Common Factor of 37,45,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,45,361 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 37,45,361 . The biggest common factor number is the GCF number.
So the greatest common factor 37,45,361 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 240/37, 354/45, 688/361

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 240/37, 354/45, 688/361?

Answer: LCM of Numerators as per given numbers 240/37, 354/45, 688/361 is

LCM of Numerators i.e. for 240,354,688 is 608880

GCF of denominators i.e. for 37,45,361 is 1.

Thus, LCM of Fractions is 608880.Finally, LCM of Fractions for 240/37, 354/45, 688/361 is 608880.