Least Common Multiple of 50/430, 11/493, 187/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/430, 11/493, 187/182 quickly i.e. 9350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/430, 11/493, 187/182 is 9350.

LCM(50/430, 11/493, 187/182) = 9350

LCM of 50/430, 11/493, 187/182

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 50/430,11/493,187/182

Given numbers are 50/430,11/493,187/182

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 50,11,187

Least Common Multiple of Numerators i.e. LCM of 50,11,187 is 9350.

GCF of Denominators means GCF of 430,493,182 as per the given fractions.

GCF of 430,493,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,11,187

LCM of Fractions 50/430,11/493,187/182 is 9350

11 50, 11, 187
50, 1, 17

∴ So the LCM of the given numbers is 11 x 50 x 1 x 17 = 9350

Least Common Multiple of 50,11,187 with GCF Formula

Least Common Multiple of 50,11,187 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 50,11,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,11,187) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(50,11,187) x common factors =1 x 11 = 11

LCM(50,11,187) = ( 50 × 11 × 187 ) / 11

LCM(50,11,187) = 102850 / 11

LCM(50,11,187) = 9350


Lets's calculate GCF of 430,493,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9350/1

Therefore the LCM of Fractions 50/430,11/493,187/182 is 9350

Greatest Common Factor of 430,493,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,493,182 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 430,493,182 . The biggest common factor number is the GCF number.
So the greatest common factor 430,493,182 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/430, 11/493, 187/182

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 50/430, 11/493, 187/182?

Answer: LCM of Numerators as per given numbers 50/430, 11/493, 187/182 is

LCM of Numerators i.e. for 50,11,187 is 9350

GCF of denominators i.e. for 430,493,182 is 1.

Thus, LCM of Fractions is 9350.Finally, LCM of Fractions for 50/430, 11/493, 187/182 is 9350.