Least Common Multiple of 62/430, 38/860, 123/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/430, 38/860, 123/618 quickly i.e. 72447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/430, 38/860, 123/618 is 72447.

LCM(62/430, 38/860, 123/618) = 72447

LCM of 62/430, 38/860, 123/618

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 62/430,38/860,123/618

Given numbers are 62/430,38/860,123/618

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 62,38,123

Least Common Multiple of Numerators i.e. LCM of 62,38,123 is 144894.

GCF of Denominators means GCF of 430,860,618 as per the given fractions.

GCF of 430,860,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,38,123

LCM of Fractions 62/430,38/860,123/618 is 72447

2 62, 38, 123
31, 19, 123

∴ So the LCM of the given numbers is 2 x 31 x 19 x 123 = 144894

Least Common Multiple of 62,38,123 with GCF Formula

Least Common Multiple of 62,38,123 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 62,38,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,38,123) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,38,123) x common factors =1 x 2 = 2

LCM(62,38,123) = ( 62 × 38 × 123 ) / 2

LCM(62,38,123) = 289788 / 2

LCM(62,38,123) = 144894


Lets's calculate GCF of 430,860,618

2 430, 860, 618
215, 430, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144894/2

Therefore the LCM of Fractions 62/430,38/860,123/618 is 72447

Greatest Common Factor of 430,860,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,860,618 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 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 430,860,618 . The biggest common factor number is the GCF number.
So the greatest common factor 430,860,618 is 2.


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 62/430, 38/860, 123/618

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 62/430, 38/860, 123/618?

Answer: LCM of Numerators as per given numbers 62/430, 38/860, 123/618 is

LCM of Numerators i.e. for 62,38,123 is 144894

GCF of denominators i.e. for 430,860,618 is 2.

Thus, LCM of Fractions is 72447.Finally, LCM of Fractions for 62/430, 38/860, 123/618 is 72447.