Least Common Multiple of 36/548, 660/301, 950/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/548, 660/301, 950/206 quickly i.e. 188100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/548, 660/301, 950/206 is 188100.

LCM(36/548, 660/301, 950/206) = 188100

LCM of 36/548, 660/301, 950/206

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 36/548,660/301,950/206

Given numbers are 36/548,660/301,950/206

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 36,660,950

Least Common Multiple of Numerators i.e. LCM of 36,660,950 is 188100.

GCF of Denominators means GCF of 548,301,206 as per the given fractions.

GCF of 548,301,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,660,950

LCM of Fractions 36/548,660/301,950/206 is 188100

2 36, 660, 950
2 18, 330, 475
3 9, 165, 475
5 3, 55, 475
3, 11, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 11 x 95 = 188100

Least Common Multiple of 36,660,950 with GCF Formula

Least Common Multiple of 36,660,950 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 36,660,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,660,950) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(36,660,950) x common factors =2 x 60 = 120

LCM(36,660,950) = ( 36 × 660 × 950 ) / 120

LCM(36,660,950) = 22572000 / 120

LCM(36,660,950) = 188100


Lets's calculate GCF of 548,301,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188100/1

Therefore the LCM of Fractions 36/548,660/301,950/206 is 188100

Greatest Common Factor of 548,301,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,301,206 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 548,301,206 . The biggest common factor number is the GCF number.
So the greatest common factor 548,301,206 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 36/548, 660/301, 950/206

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 36/548, 660/301, 950/206?

Answer: LCM of Numerators as per given numbers 36/548, 660/301, 950/206 is

LCM of Numerators i.e. for 36,660,950 is 188100

GCF of denominators i.e. for 548,301,206 is 1.

Thus, LCM of Fractions is 188100.Finally, LCM of Fractions for 36/548, 660/301, 950/206 is 188100.