Least Common Multiple of 62/13, 241/19, 827/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/13, 241/19, 827/185 quickly i.e. 12357034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/13, 241/19, 827/185 is 12357034.

LCM(62/13, 241/19, 827/185) = 12357034

LCM of 62/13, 241/19, 827/185

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 62/13,241/19,827/185

Given numbers are 62/13,241/19,827/185

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 62,241,827

Least Common Multiple of Numerators i.e. LCM of 62,241,827 is 12357034.

GCF of Denominators means GCF of 13,19,185 as per the given fractions.

GCF of 13,19,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,241,827

LCM of Fractions 62/13,241/19,827/185 is 12357034

Given numbers has no common factors except 1. So, there LCM is their product i.e 12357034

Least Common Multiple of 62,241,827 with GCF Formula

Least Common Multiple of 62,241,827 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 62,241,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,241,827) = 1

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

GCF(62,241,827) x common factors =1 x 1 = 1

LCM(62,241,827) = ( 62 × 241 × 827 ) / 1

LCM(62,241,827) = 12357034 / 1

LCM(62,241,827) = 12357034


Lets's calculate GCF of 13,19,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12357034/1

Therefore the LCM of Fractions 62/13,241/19,827/185 is 12357034

Greatest Common Factor of 13,19,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,19,185 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 13,19,185 . The biggest common factor number is the GCF number.
So the greatest common factor 13,19,185 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 62/13, 241/19, 827/185

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 62/13, 241/19, 827/185?

Answer: LCM of Numerators as per given numbers 62/13, 241/19, 827/185 is

LCM of Numerators i.e. for 62,241,827 is 12357034

GCF of denominators i.e. for 13,19,185 is 1.

Thus, LCM of Fractions is 12357034.Finally, LCM of Fractions for 62/13, 241/19, 827/185 is 12357034.