Least Common Multiple of 62/111, 728/444, 511/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/111, 728/444, 511/185 quickly i.e. 1647464/37 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/111, 728/444, 511/185 is 1647464/37.

LCM(62/111, 728/444, 511/185) = 1647464/37

LCM of 62/111, 728/444, 511/185

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 62/111,728/444,511/185

Given numbers are 62/111,728/444,511/185

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 62,728,511

Least Common Multiple of Numerators i.e. LCM of 62,728,511 is 1647464.

GCF of Denominators means GCF of 111,444,185 as per the given fractions.

GCF of 111,444,185 is 37 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,728,511

LCM of Fractions 62/111,728/444,511/185 is 1647464/37

2 62, 728, 511
7 31, 364, 511
31, 52, 73

∴ So the LCM of the given numbers is 2 x 7 x 31 x 52 x 73 = 1647464

Least Common Multiple of 62,728,511 with GCF Formula

Least Common Multiple of 62,728,511 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 62,728,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,728,511) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(62,728,511) x common factors =1 x 14 = 14

LCM(62,728,511) = ( 62 × 728 × 511 ) / 14

LCM(62,728,511) = 23064496 / 14

LCM(62,728,511) = 1647464


Lets's calculate GCF of 111,444,185

37 111, 444, 185
3, 12, 5

∴ So the GCF of the given numbers is 37 = 37

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1647464/37

Therefore the LCM of Fractions 62/111,728/444,511/185 is 1647464/37

Greatest Common Factor of 111,444,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,444,185 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

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 111,444,185 . The biggest common factor number is the GCF number.
So the greatest common factor 111,444,185 is 37.


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 62/111, 728/444, 511/185

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 62/111, 728/444, 511/185?

Answer: LCM of Numerators as per given numbers 62/111, 728/444, 511/185 is

LCM of Numerators i.e. for 62,728,511 is 1647464

GCF of denominators i.e. for 111,444,185 is 37.

Thus, LCM of Fractions is 1647464/37.Finally, LCM of Fractions for 62/111, 728/444, 511/185 is 1647464/37.