Least Common Multiple of 100/38, 362/1618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/38, 362/1618 quickly i.e. 9050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/38, 362/1618 is 9050.

LCM(100/38, 362/1618) = 9050

LCM of 100/38, 362/1618

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 100/38,362/1618

Given numbers are 100/38,362/1618

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 100,362

Least Common Multiple of Numerators i.e. LCM of 100,362 is 18100.

GCF of Denominators means GCF of 38,1618 as per the given fractions.

GCF of 38,1618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,362

LCM of Fractions 100/38,362/1618 is 9050

2 100, 362
50, 181

∴ So the LCM of the given numbers is 2 x 50 x 181 = 18100

Least Common Multiple of 100,362 with GCF Formula

Least Common Multiple of 100,362 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 100,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,362) = 2

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

GCF(100,362) x common factors =2 x 1 = 2

LCM(100,362) = ( 100 × 362 ) / 2

LCM(100,362) = 36200 / 2

LCM(100,362) = 18100


Lets's calculate GCF of 38,1618

2 38, 1618
19, 809

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18100/2

Therefore the LCM of Fractions 100/38,362/1618 is 9050

Greatest Common Factor of 38,1618 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,1618 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 1618

List of positive integer factors of 1618 that divides 1618 without a remainder.

1,2,809,1618

Greatest Common Factor

We found the factors 38,1618 . The biggest common factor number is the GCF number.
So the greatest common factor 38,1618 is 2.


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 100/38, 362/1618

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 100/38, 362/1618?

Answer: LCM of Numerators as per given numbers 100/38, 362/1618 is

LCM of Numerators i.e. for 100,362 is 18100

GCF of denominators i.e. for 38,1618 is 2.

Thus, LCM of Fractions is 9050.Finally, LCM of Fractions for 100/38, 362/1618 is 9050.