Least Common Multiple of 429/27, 411/85, 207/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/27, 411/85, 207/222 quickly i.e. 4055337 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/27, 411/85, 207/222 is 4055337.

LCM(429/27, 411/85, 207/222) = 4055337

LCM of 429/27, 411/85, 207/222

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 429/27,411/85,207/222

Given numbers are 429/27,411/85,207/222

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 429,411,207

Least Common Multiple of Numerators i.e. LCM of 429,411,207 is 4055337.

GCF of Denominators means GCF of 27,85,222 as per the given fractions.

GCF of 27,85,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,411,207

LCM of Fractions 429/27,411/85,207/222 is 4055337

3 429, 411, 207
143, 137, 69

∴ So the LCM of the given numbers is 3 x 143 x 137 x 69 = 4055337

Least Common Multiple of 429,411,207 with GCF Formula

Least Common Multiple of 429,411,207 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 429,411,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,411,207) = 3

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

GCF(429,411,207) x common factors =3 x 3 = 9

LCM(429,411,207) = ( 429 × 411 × 207 ) / 9

LCM(429,411,207) = 36498033 / 9

LCM(429,411,207) = 4055337


Lets's calculate GCF of 27,85,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4055337/1

Therefore the LCM of Fractions 429/27,411/85,207/222 is 4055337

Greatest Common Factor of 27,85,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,85,222 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 27,85,222 . The biggest common factor number is the GCF number.
So the greatest common factor 27,85,222 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 429/27, 411/85, 207/222

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 429/27, 411/85, 207/222?

Answer: LCM of Numerators as per given numbers 429/27, 411/85, 207/222 is

LCM of Numerators i.e. for 429,411,207 is 4055337

GCF of denominators i.e. for 27,85,222 is 1.

Thus, LCM of Fractions is 4055337.Finally, LCM of Fractions for 429/27, 411/85, 207/222 is 4055337.