Least Common Multiple of 40/25, 75/185, 335/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/25, 75/185, 335/370 quickly i.e. 8040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/25, 75/185, 335/370 is 8040.

LCM(40/25, 75/185, 335/370) = 8040

LCM of 40/25, 75/185, 335/370

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 40/25,75/185,335/370

Given numbers are 40/25,75/185,335/370

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 40,75,335

Least Common Multiple of Numerators i.e. LCM of 40,75,335 is 40200.

GCF of Denominators means GCF of 25,185,370 as per the given fractions.

GCF of 25,185,370 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,75,335

LCM of Fractions 40/25,75/185,335/370 is 8040

5 40, 75, 335
8, 15, 67

∴ So the LCM of the given numbers is 5 x 8 x 15 x 67 = 40200

Least Common Multiple of 40,75,335 with GCF Formula

Least Common Multiple of 40,75,335 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 40,75,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,75,335) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(40,75,335) x common factors =5 x 5 = 25

LCM(40,75,335) = ( 40 × 75 × 335 ) / 25

LCM(40,75,335) = 1005000 / 25

LCM(40,75,335) = 40200


Lets's calculate GCF of 25,185,370

5 25, 185, 370
5, 37, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40200/5

Therefore the LCM of Fractions 40/25,75/185,335/370 is 8040

Greatest Common Factor of 25,185,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,185,370 By Matching Biggest Common Factor Method

Factors of 25

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

1,5,25

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 370

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

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

Greatest Common Factor

We found the factors 25,185,370 . The biggest common factor number is the GCF number.
So the greatest common factor 25,185,370 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 40/25, 75/185, 335/370

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 40/25, 75/185, 335/370?

Answer: LCM of Numerators as per given numbers 40/25, 75/185, 335/370 is

LCM of Numerators i.e. for 40,75,335 is 40200

GCF of denominators i.e. for 25,185,370 is 5.

Thus, LCM of Fractions is 8040.Finally, LCM of Fractions for 40/25, 75/185, 335/370 is 8040.