Least Common Multiple of 162/265, 403/825, 823/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 162/265, 403/825, 823/153 quickly i.e. 53730378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/265, 403/825, 823/153 is 53730378.

LCM(162/265, 403/825, 823/153) = 53730378

LCM of 162/265, 403/825, 823/153

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 162/265,403/825,823/153

Given numbers are 162/265,403/825,823/153

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 162,403,823

Least Common Multiple of Numerators i.e. LCM of 162,403,823 is 53730378.

GCF of Denominators means GCF of 265,825,153 as per the given fractions.

GCF of 265,825,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,403,823

LCM of Fractions 162/265,403/825,823/153 is 53730378

Given numbers has no common factors except 1. So, there LCM is their product i.e 53730378

Least Common Multiple of 162,403,823 with GCF Formula

Least Common Multiple of 162,403,823 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 162,403,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,403,823) = 1

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

GCF(162,403,823) x common factors =1 x 1 = 1

LCM(162,403,823) = ( 162 × 403 × 823 ) / 1

LCM(162,403,823) = 53730378 / 1

LCM(162,403,823) = 53730378


Lets's calculate GCF of 265,825,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53730378/1

Therefore the LCM of Fractions 162/265,403/825,823/153 is 53730378

Greatest Common Factor of 265,825,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,825,153 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 265,825,153 . The biggest common factor number is the GCF number.
So the greatest common factor 265,825,153 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 162/265, 403/825, 823/153

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 162/265, 403/825, 823/153?

Answer: LCM of Numerators as per given numbers 162/265, 403/825, 823/153 is

LCM of Numerators i.e. for 162,403,823 is 53730378

GCF of denominators i.e. for 265,825,153 is 1.

Thus, LCM of Fractions is 53730378.Finally, LCM of Fractions for 162/265, 403/825, 823/153 is 53730378.