Least Common Multiple of 100/187, 392/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/187, 392/162 quickly i.e. 9800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/187, 392/162 is 9800.

LCM(100/187, 392/162) = 9800

LCM of 100/187, 392/162

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 100/187,392/162

Given numbers are 100/187,392/162

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 100,392

Least Common Multiple of Numerators i.e. LCM of 100,392 is 9800.

GCF of Denominators means GCF of 187,162 as per the given fractions.

GCF of 187,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,392

LCM of Fractions 100/187,392/162 is 9800

2 100, 392
2 50, 196
25, 98

∴ So the LCM of the given numbers is 2 x 2 x 25 x 98 = 9800

Least Common Multiple of 100,392 with GCF Formula

Least Common Multiple of 100,392 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 100,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,392) = 4

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

GCF(100,392) x common factors =4 x 1 = 4

LCM(100,392) = ( 100 × 392 ) / 4

LCM(100,392) = 39200 / 4

LCM(100,392) = 9800


Lets's calculate GCF of 187,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9800/1

Therefore the LCM of Fractions 100/187,392/162 is 9800

Greatest Common Factor of 187,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,162 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

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

Greatest Common Factor

We found the factors 187,162 . The biggest common factor number is the GCF number.
So the greatest common factor 187,162 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 100/187, 392/162

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 100/187, 392/162?

Answer: LCM of Numerators as per given numbers 100/187, 392/162 is

LCM of Numerators i.e. for 100,392 is 9800

GCF of denominators i.e. for 187,162 is 1.

Thus, LCM of Fractions is 9800.Finally, LCM of Fractions for 100/187, 392/162 is 9800.