Least Common Multiple of 100/549, 205/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/549, 205/610 quickly i.e. 4100/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/549, 205/610 is 4100/61.

LCM(100/549, 205/610) = 4100/61

LCM of 100/549, 205/610

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 100/549,205/610

Given numbers are 100/549,205/610

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 100,205

Least Common Multiple of Numerators i.e. LCM of 100,205 is 4100.

GCF of Denominators means GCF of 549,610 as per the given fractions.

GCF of 549,610 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,205

LCM of Fractions 100/549,205/610 is 4100/61

5 100, 205
20, 41

∴ So the LCM of the given numbers is 5 x 20 x 41 = 4100

Least Common Multiple of 100,205 with GCF Formula

Least Common Multiple of 100,205 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 100,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,205) = 5

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

GCF(100,205) x common factors =5 x 1 = 5

LCM(100,205) = ( 100 × 205 ) / 5

LCM(100,205) = 20500 / 5

LCM(100,205) = 4100


Lets's calculate GCF of 549,610

61 549, 610
9, 10

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4100/61

Therefore the LCM of Fractions 100/549,205/610 is 4100/61

Greatest Common Factor of 549,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,610 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 549,610 . The biggest common factor number is the GCF number.
So the greatest common factor 549,610 is 61.


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 100/549, 205/610

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 100/549, 205/610?

Answer: LCM of Numerators as per given numbers 100/549, 205/610 is

LCM of Numerators i.e. for 100,205 is 4100

GCF of denominators i.e. for 549,610 is 61.

Thus, LCM of Fractions is 4100/61.Finally, LCM of Fractions for 100/549, 205/610 is 4100/61.