Least Common Multiple of 38/840, 4665/8155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/840, 4665/8155 quickly i.e. 177270/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/840, 4665/8155 is 177270/35.

LCM(38/840, 4665/8155) = 177270/35

LCM of 38/840, 4665/8155

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 38/840,4665/8155

Given numbers are 38/840,4665/8155

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 38,4665

Least Common Multiple of Numerators i.e. LCM of 38,4665 is 177270.

GCF of Denominators means GCF of 840,8155 as per the given fractions.

GCF of 840,8155 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,4665

LCM of Fractions 38/840,4665/8155 is 177270/35

Given numbers has no common factors except 1. So, there LCM is their product i.e 177270

Least Common Multiple of 38,4665 with GCF Formula

Least Common Multiple of 38,4665 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 38,4665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,4665) = 1

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

GCF(38,4665) x common factors =1 x 1 = 1

LCM(38,4665) = ( 38 × 4665 ) / 1

LCM(38,4665) = 177270 / 1

LCM(38,4665) = 177270


Lets's calculate GCF of 840,8155

5 840, 8155
7 168, 1631
24, 233

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177270/35

Therefore the LCM of Fractions 38/840,4665/8155 is 177270/35

Greatest Common Factor of 840,8155 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,8155 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 8155

List of positive integer factors of 8155 that divides 8155 without a remainder.

1,5,7,35,233,1165,1631,8155

Greatest Common Factor

We found the factors 840,8155 . The biggest common factor number is the GCF number.
So the greatest common factor 840,8155 is 35.


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 38/840, 4665/8155

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 38/840, 4665/8155?

Answer: LCM of Numerators as per given numbers 38/840, 4665/8155 is

LCM of Numerators i.e. for 38,4665 is 177270

GCF of denominators i.e. for 840,8155 is 35.

Thus, LCM of Fractions is 177270/35.Finally, LCM of Fractions for 38/840, 4665/8155 is 177270/35.