Least Common Multiple of 165/112, 584/162, 417/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/112, 584/162, 417/925 quickly i.e. 13394040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/112, 584/162, 417/925 is 13394040.

LCM(165/112, 584/162, 417/925) = 13394040

LCM of 165/112, 584/162, 417/925

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 165/112,584/162,417/925

Given numbers are 165/112,584/162,417/925

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 165,584,417

Least Common Multiple of Numerators i.e. LCM of 165,584,417 is 13394040.

GCF of Denominators means GCF of 112,162,925 as per the given fractions.

GCF of 112,162,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,584,417

LCM of Fractions 165/112,584/162,417/925 is 13394040

3 165, 584, 417
55, 584, 139

∴ So the LCM of the given numbers is 3 x 55 x 584 x 139 = 13394040

Least Common Multiple of 165,584,417 with GCF Formula

Least Common Multiple of 165,584,417 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 165,584,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,584,417) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(165,584,417) x common factors =1 x 3 = 3

LCM(165,584,417) = ( 165 × 584 × 417 ) / 3

LCM(165,584,417) = 40182120 / 3

LCM(165,584,417) = 13394040


Lets's calculate GCF of 112,162,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13394040/1

Therefore the LCM of Fractions 165/112,584/162,417/925 is 13394040

Greatest Common Factor of 112,162,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,162,925 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 112,162,925 . The biggest common factor number is the GCF number.
So the greatest common factor 112,162,925 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 165/112, 584/162, 417/925

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 165/112, 584/162, 417/925?

Answer: LCM of Numerators as per given numbers 165/112, 584/162, 417/925 is

LCM of Numerators i.e. for 165,584,417 is 13394040

GCF of denominators i.e. for 112,162,925 is 1.

Thus, LCM of Fractions is 13394040.Finally, LCM of Fractions for 165/112, 584/162, 417/925 is 13394040.