Least Common Multiple of 894/56, 786/73, 421/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/56, 786/73, 421/479 quickly i.e. 49304994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/56, 786/73, 421/479 is 49304994.

LCM(894/56, 786/73, 421/479) = 49304994

LCM of 894/56, 786/73, 421/479

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 894/56,786/73,421/479

Given numbers are 894/56,786/73,421/479

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 894,786,421

Least Common Multiple of Numerators i.e. LCM of 894,786,421 is 49304994.

GCF of Denominators means GCF of 56,73,479 as per the given fractions.

GCF of 56,73,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,786,421

LCM of Fractions 894/56,786/73,421/479 is 49304994

2 894, 786, 421
3 447, 393, 421
149, 131, 421

∴ So the LCM of the given numbers is 2 x 3 x 149 x 131 x 421 = 49304994

Least Common Multiple of 894,786,421 with GCF Formula

Least Common Multiple of 894,786,421 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 894,786,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,786,421) = 1

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

GCF(894,786,421) x common factors =1 x 6 = 6

LCM(894,786,421) = ( 894 × 786 × 421 ) / 6

LCM(894,786,421) = 295829964 / 6

LCM(894,786,421) = 49304994


Lets's calculate GCF of 56,73,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49304994/1

Therefore the LCM of Fractions 894/56,786/73,421/479 is 49304994

Greatest Common Factor of 56,73,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,73,479 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 56,73,479 . The biggest common factor number is the GCF number.
So the greatest common factor 56,73,479 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 894/56, 786/73, 421/479

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 894/56, 786/73, 421/479?

Answer: LCM of Numerators as per given numbers 894/56, 786/73, 421/479 is

LCM of Numerators i.e. for 894,786,421 is 49304994

GCF of denominators i.e. for 56,73,479 is 1.

Thus, LCM of Fractions is 49304994.Finally, LCM of Fractions for 894/56, 786/73, 421/479 is 49304994.