Least Common Multiple of 434/84, 353/51, 185/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 434/84, 353/51, 185/641 quickly i.e. 28342370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/84, 353/51, 185/641 is 28342370.

LCM(434/84, 353/51, 185/641) = 28342370

LCM of 434/84, 353/51, 185/641

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 434/84,353/51,185/641

Given numbers are 434/84,353/51,185/641

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 434,353,185

Least Common Multiple of Numerators i.e. LCM of 434,353,185 is 28342370.

GCF of Denominators means GCF of 84,51,641 as per the given fractions.

GCF of 84,51,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,353,185

LCM of Fractions 434/84,353/51,185/641 is 28342370

Given numbers has no common factors except 1. So, there LCM is their product i.e 28342370

Least Common Multiple of 434,353,185 with GCF Formula

Least Common Multiple of 434,353,185 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 434,353,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,353,185) = 1

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

GCF(434,353,185) x common factors =1 x 1 = 1

LCM(434,353,185) = ( 434 × 353 × 185 ) / 1

LCM(434,353,185) = 28342370 / 1

LCM(434,353,185) = 28342370


Lets's calculate GCF of 84,51,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28342370/1

Therefore the LCM of Fractions 434/84,353/51,185/641 is 28342370

Greatest Common Factor of 84,51,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,51,641 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 84,51,641 . The biggest common factor number is the GCF number.
So the greatest common factor 84,51,641 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 434/84, 353/51, 185/641

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 434/84, 353/51, 185/641?

Answer: LCM of Numerators as per given numbers 434/84, 353/51, 185/641 is

LCM of Numerators i.e. for 434,353,185 is 28342370

GCF of denominators i.e. for 84,51,641 is 1.

Thus, LCM of Fractions is 28342370.Finally, LCM of Fractions for 434/84, 353/51, 185/641 is 28342370.