Least Common Multiple of 62/36, 29/14, 499/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/36, 29/14, 499/136 quickly i.e. 448601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/36, 29/14, 499/136 is 448601.

LCM(62/36, 29/14, 499/136) = 448601

LCM of 62/36, 29/14, 499/136

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 62/36,29/14,499/136

Given numbers are 62/36,29/14,499/136

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 62,29,499

Least Common Multiple of Numerators i.e. LCM of 62,29,499 is 897202.

GCF of Denominators means GCF of 36,14,136 as per the given fractions.

GCF of 36,14,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,29,499

LCM of Fractions 62/36,29/14,499/136 is 448601

Given numbers has no common factors except 1. So, there LCM is their product i.e 897202

Least Common Multiple of 62,29,499 with GCF Formula

Least Common Multiple of 62,29,499 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 62,29,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,29,499) = 1

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

GCF(62,29,499) x common factors =1 x 1 = 1

LCM(62,29,499) = ( 62 × 29 × 499 ) / 1

LCM(62,29,499) = 897202 / 1

LCM(62,29,499) = 897202


Lets's calculate GCF of 36,14,136

2 36, 14, 136
18, 7, 68

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897202/2

Therefore the LCM of Fractions 62/36,29/14,499/136 is 448601

Greatest Common Factor of 36,14,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,14,136 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 36,14,136 . The biggest common factor number is the GCF number.
So the greatest common factor 36,14,136 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/36, 29/14, 499/136

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 62/36, 29/14, 499/136?

Answer: LCM of Numerators as per given numbers 62/36, 29/14, 499/136 is

LCM of Numerators i.e. for 62,29,499 is 897202

GCF of denominators i.e. for 36,14,136 is 2.

Thus, LCM of Fractions is 448601.Finally, LCM of Fractions for 62/36, 29/14, 499/136 is 448601.