Least Common Multiple of 789/12, 894/31, 358/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/12, 894/31, 358/527 quickly i.e. 42086838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/12, 894/31, 358/527 is 42086838.

LCM(789/12, 894/31, 358/527) = 42086838

LCM of 789/12, 894/31, 358/527

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 789/12,894/31,358/527

Given numbers are 789/12,894/31,358/527

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 789,894,358

Least Common Multiple of Numerators i.e. LCM of 789,894,358 is 42086838.

GCF of Denominators means GCF of 12,31,527 as per the given fractions.

GCF of 12,31,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,894,358

LCM of Fractions 789/12,894/31,358/527 is 42086838

2 789, 894, 358
3 789, 447, 179
263, 149, 179

∴ So the LCM of the given numbers is 2 x 3 x 263 x 149 x 179 = 42086838

Least Common Multiple of 789,894,358 with GCF Formula

Least Common Multiple of 789,894,358 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 789,894,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,894,358) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(789,894,358) x common factors =1 x 6 = 6

LCM(789,894,358) = ( 789 × 894 × 358 ) / 6

LCM(789,894,358) = 252521028 / 6

LCM(789,894,358) = 42086838


Lets's calculate GCF of 12,31,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42086838/1

Therefore the LCM of Fractions 789/12,894/31,358/527 is 42086838

Greatest Common Factor of 12,31,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,31,527 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 12,31,527 . The biggest common factor number is the GCF number.
So the greatest common factor 12,31,527 is 1.


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 789/12, 894/31, 358/527

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 789/12, 894/31, 358/527?

Answer: LCM of Numerators as per given numbers 789/12, 894/31, 358/527 is

LCM of Numerators i.e. for 789,894,358 is 42086838

GCF of denominators i.e. for 12,31,527 is 1.

Thus, LCM of Fractions is 42086838.Finally, LCM of Fractions for 789/12, 894/31, 358/527 is 42086838.