Least Common Multiple of 36/296, 61/473, 206/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/296, 61/473, 206/788 quickly i.e. 226188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/296, 61/473, 206/788 is 226188.

LCM(36/296, 61/473, 206/788) = 226188

LCM of 36/296, 61/473, 206/788

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 36/296,61/473,206/788

Given numbers are 36/296,61/473,206/788

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 36,61,206

Least Common Multiple of Numerators i.e. LCM of 36,61,206 is 226188.

GCF of Denominators means GCF of 296,473,788 as per the given fractions.

GCF of 296,473,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,61,206

LCM of Fractions 36/296,61/473,206/788 is 226188

2 36, 61, 206
18, 61, 103

∴ So the LCM of the given numbers is 2 x 18 x 61 x 103 = 226188

Least Common Multiple of 36,61,206 with GCF Formula

Least Common Multiple of 36,61,206 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 36,61,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,61,206) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,61,206) x common factors =1 x 2 = 2

LCM(36,61,206) = ( 36 × 61 × 206 ) / 2

LCM(36,61,206) = 452376 / 2

LCM(36,61,206) = 226188


Lets's calculate GCF of 296,473,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226188/1

Therefore the LCM of Fractions 36/296,61/473,206/788 is 226188

Greatest Common Factor of 296,473,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,473,788 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 296,473,788 . The biggest common factor number is the GCF number.
So the greatest common factor 296,473,788 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 36/296, 61/473, 206/788

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 36/296, 61/473, 206/788?

Answer: LCM of Numerators as per given numbers 36/296, 61/473, 206/788 is

LCM of Numerators i.e. for 36,61,206 is 226188

GCF of denominators i.e. for 296,473,788 is 1.

Thus, LCM of Fractions is 226188.Finally, LCM of Fractions for 36/296, 61/473, 206/788 is 226188.