Least Common Multiple of 69/558, 426/328, 387/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/558, 426/328, 387/923 quickly i.e. 1263942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/558, 426/328, 387/923 is 1263942.

LCM(69/558, 426/328, 387/923) = 1263942

LCM of 69/558, 426/328, 387/923

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 69/558,426/328,387/923

Given numbers are 69/558,426/328,387/923

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 69,426,387

Least Common Multiple of Numerators i.e. LCM of 69,426,387 is 1263942.

GCF of Denominators means GCF of 558,328,923 as per the given fractions.

GCF of 558,328,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,426,387

LCM of Fractions 69/558,426/328,387/923 is 1263942

3 69, 426, 387
23, 142, 129

∴ So the LCM of the given numbers is 3 x 23 x 142 x 129 = 1263942

Least Common Multiple of 69,426,387 with GCF Formula

Least Common Multiple of 69,426,387 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 69,426,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,426,387) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,426,387) x common factors =3 x 3 = 9

LCM(69,426,387) = ( 69 × 426 × 387 ) / 9

LCM(69,426,387) = 11375478 / 9

LCM(69,426,387) = 1263942


Lets's calculate GCF of 558,328,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1263942/1

Therefore the LCM of Fractions 69/558,426/328,387/923 is 1263942

Greatest Common Factor of 558,328,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,328,923 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 558,328,923 . The biggest common factor number is the GCF number.
So the greatest common factor 558,328,923 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/558, 426/328, 387/923

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 69/558, 426/328, 387/923?

Answer: LCM of Numerators as per given numbers 69/558, 426/328, 387/923 is

LCM of Numerators i.e. for 69,426,387 is 1263942

GCF of denominators i.e. for 558,328,923 is 1.

Thus, LCM of Fractions is 1263942.Finally, LCM of Fractions for 69/558, 426/328, 387/923 is 1263942.