Least Common Multiple of 7/380, 61/375, 41/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/380, 61/375, 41/155 quickly i.e. 17507/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/380, 61/375, 41/155 is 17507/5.

LCM(7/380, 61/375, 41/155) = 17507/5

LCM of 7/380, 61/375, 41/155

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 7/380,61/375,41/155

Given numbers are 7/380,61/375,41/155

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 7,61,41

Least Common Multiple of Numerators i.e. LCM of 7,61,41 is 17507.

GCF of Denominators means GCF of 380,375,155 as per the given fractions.

GCF of 380,375,155 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,61,41

LCM of Fractions 7/380,61/375,41/155 is 17507/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 17507

Least Common Multiple of 7,61,41 with GCF Formula

Least Common Multiple of 7,61,41 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 7,61,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,61,41) = 1

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

GCF(7,61,41) x common factors =1 x 1 = 1

LCM(7,61,41) = ( 7 × 61 × 41 ) / 1

LCM(7,61,41) = 17507 / 1

LCM(7,61,41) = 17507


Lets's calculate GCF of 380,375,155

5 380, 375, 155
76, 75, 31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17507/5

Therefore the LCM of Fractions 7/380,61/375,41/155 is 17507/5

Greatest Common Factor of 380,375,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,375,155 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 380,375,155 . The biggest common factor number is the GCF number.
So the greatest common factor 380,375,155 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 7/380, 61/375, 41/155

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 7/380, 61/375, 41/155?

Answer: LCM of Numerators as per given numbers 7/380, 61/375, 41/155 is

LCM of Numerators i.e. for 7,61,41 is 17507

GCF of denominators i.e. for 380,375,155 is 5.

Thus, LCM of Fractions is 17507/5.Finally, LCM of Fractions for 7/380, 61/375, 41/155 is 17507/5.