Least Common Multiple of 543/985, 147/466, 207/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/985, 147/466, 207/363 quickly i.e. 1835883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/985, 147/466, 207/363 is 1835883.

LCM(543/985, 147/466, 207/363) = 1835883

LCM of 543/985, 147/466, 207/363

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 543/985,147/466,207/363

Given numbers are 543/985,147/466,207/363

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 543,147,207

Least Common Multiple of Numerators i.e. LCM of 543,147,207 is 1835883.

GCF of Denominators means GCF of 985,466,363 as per the given fractions.

GCF of 985,466,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,147,207

LCM of Fractions 543/985,147/466,207/363 is 1835883

3 543, 147, 207
181, 49, 69

∴ So the LCM of the given numbers is 3 x 181 x 49 x 69 = 1835883

Least Common Multiple of 543,147,207 with GCF Formula

Least Common Multiple of 543,147,207 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 543,147,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,147,207) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(543,147,207) x common factors =3 x 3 = 9

LCM(543,147,207) = ( 543 × 147 × 207 ) / 9

LCM(543,147,207) = 16522947 / 9

LCM(543,147,207) = 1835883


Lets's calculate GCF of 985,466,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1835883/1

Therefore the LCM of Fractions 543/985,147/466,207/363 is 1835883

Greatest Common Factor of 985,466,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,466,363 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 985,466,363 . The biggest common factor number is the GCF number.
So the greatest common factor 985,466,363 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 543/985, 147/466, 207/363

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 543/985, 147/466, 207/363?

Answer: LCM of Numerators as per given numbers 543/985, 147/466, 207/363 is

LCM of Numerators i.e. for 543,147,207 is 1835883

GCF of denominators i.e. for 985,466,363 is 1.

Thus, LCM of Fractions is 1835883.Finally, LCM of Fractions for 543/985, 147/466, 207/363 is 1835883.