Least Common Multiple of 177/162, 911/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 177/162, 911/642 quickly i.e. 161247/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/162, 911/642 is 161247/6.

LCM(177/162, 911/642) = 161247/6

LCM of 177/162, 911/642

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 177/162,911/642

Given numbers are 177/162,911/642

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 177,911

Least Common Multiple of Numerators i.e. LCM of 177,911 is 161247.

GCF of Denominators means GCF of 162,642 as per the given fractions.

GCF of 162,642 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,911

LCM of Fractions 177/162,911/642 is 161247/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 161247

Least Common Multiple of 177,911 with GCF Formula

Least Common Multiple of 177,911 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 177,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,911) = 1

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

GCF(177,911) x common factors =1 x 1 = 1

LCM(177,911) = ( 177 × 911 ) / 1

LCM(177,911) = 161247 / 1

LCM(177,911) = 161247


Lets's calculate GCF of 162,642

2 162, 642
3 81, 321
27, 107

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161247/6

Therefore the LCM of Fractions 177/162,911/642 is 161247/6

Greatest Common Factor of 162,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,642 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 162,642 . The biggest common factor number is the GCF number.
So the greatest common factor 162,642 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 177/162, 911/642

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 177/162, 911/642?

Answer: LCM of Numerators as per given numbers 177/162, 911/642 is

LCM of Numerators i.e. for 177,911 is 161247

GCF of denominators i.e. for 162,642 is 6.

Thus, LCM of Fractions is 161247/6.Finally, LCM of Fractions for 177/162, 911/642 is 161247/6.