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Least Common Multiple of 1155/162, 1365/1525

Know Least Common Multiple of fractions 1155/162, 1365/1525 quickly i.e. 15015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1155/162, 1365/1525 is 15015.

LCM(1155/162, 1365/1525) = 15015

LCM of 1155/162, 1365/1525

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 1155/162,1365/1525

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 1155,1365

Least Common Multiple of Numerators i.e. LCM of 1155,1365 is 15015.

GCF of Denominators means GCF of 162,1525 as per the given fractions.

GCF of 162,1525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1155,1365

Least Common Multiple (LCM) of 1155,1365 By Common Division

3 1155, 1365
5 385, 455
7 77, 91
11, 13

∴ So the LCM of the given numbers is 3 x 5 x 7 x 11 x 13 = 15015

Least Common Multiple of 1155,1365 with GCF Formula

Least Common Multiple of 1155,1365 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 1155,1365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1155,1365) = 105

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

GCF(1155,1365) x common factors =105 x 1 = 105

LCM(1155,1365) = ( 1155 × 1365 ) / 105

LCM(1155,1365) = 1576575 / 105

LCM(1155,1365) = 15015


Lets's calculate GCF of 162,1525

Greatest Common Factor (GCF) of 162,1525 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15015/1

Therefore the LCM of Fractions 1155/162,1365/1525 is 15015

Greatest Common Factor of 162,1525 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,1525 By Matching Biggest Common Factor Method

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 1525

List of positive integer factors of 1525 that divides 1525 without a remainder.

1,5,25,61,305,1525

Greatest Common Factor

We found the factors 162,1525 . The biggest common factor number is the GCF number.
So the greatest common factor 162,1525 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1155/162, 1365/1525

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 1155/162, 1365/1525?

Answer: LCM of Numerators as per given numbers 1155/162, 1365/1525 is

LCM of Numerators i.e. for 1155,1365 is 15015

GCF of denominators i.e. for 162,1525 is 1.

Thus, LCM of Fractions is 15015.Finally, LCM of Fractions for 1155/162, 1365/1525 is 15015.