Least Common Multiple of 40/370, 77/598, 180/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/370, 77/598, 180/590 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/370, 77/598, 180/590 is 13860.

LCM(40/370, 77/598, 180/590) = 13860

LCM of 40/370, 77/598, 180/590

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 40/370,77/598,180/590

Given numbers are 40/370,77/598,180/590

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 40,77,180

Least Common Multiple of Numerators i.e. LCM of 40,77,180 is 27720.

GCF of Denominators means GCF of 370,598,590 as per the given fractions.

GCF of 370,598,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,77,180

LCM of Fractions 40/370,77/598,180/590 is 13860

2 40, 77, 180
2 20, 77, 90
5 10, 77, 45
2, 77, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 77 x 9 = 27720

Least Common Multiple of 40,77,180 with GCF Formula

Least Common Multiple of 40,77,180 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 40,77,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,77,180) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(40,77,180) x common factors =1 x 20 = 20

LCM(40,77,180) = ( 40 × 77 × 180 ) / 20

LCM(40,77,180) = 554400 / 20

LCM(40,77,180) = 27720


Lets's calculate GCF of 370,598,590

2 370, 598, 590
185, 299, 295

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/2

Therefore the LCM of Fractions 40/370,77/598,180/590 is 13860

Greatest Common Factor of 370,598,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,598,590 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 370,598,590 . The biggest common factor number is the GCF number.
So the greatest common factor 370,598,590 is 2.


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 40/370, 77/598, 180/590

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 40/370, 77/598, 180/590?

Answer: LCM of Numerators as per given numbers 40/370, 77/598, 180/590 is

LCM of Numerators i.e. for 40,77,180 is 27720

GCF of denominators i.e. for 370,598,590 is 2.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 40/370, 77/598, 180/590 is 13860.