Least Common Multiple of 456/418, 3494/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/418, 3494/856 quickly i.e. 398316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/418, 3494/856 is 398316.

LCM(456/418, 3494/856) = 398316

LCM of 456/418, 3494/856

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 456/418,3494/856

Given numbers are 456/418,3494/856

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 456,3494

Least Common Multiple of Numerators i.e. LCM of 456,3494 is 796632.

GCF of Denominators means GCF of 418,856 as per the given fractions.

GCF of 418,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,3494

LCM of Fractions 456/418,3494/856 is 398316

2 456, 3494
228, 1747

∴ So the LCM of the given numbers is 2 x 228 x 1747 = 796632

Least Common Multiple of 456,3494 with GCF Formula

Least Common Multiple of 456,3494 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 456,3494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,3494) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(456,3494) x common factors =2 x 1 = 2

LCM(456,3494) = ( 456 × 3494 ) / 2

LCM(456,3494) = 1593264 / 2

LCM(456,3494) = 796632


Lets's calculate GCF of 418,856

2 418, 856
209, 428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 796632/2

Therefore the LCM of Fractions 456/418,3494/856 is 398316

Greatest Common Factor of 418,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,856 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 418,856 . The biggest common factor number is the GCF number.
So the greatest common factor 418,856 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 456/418, 3494/856

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 456/418, 3494/856?

Answer: LCM of Numerators as per given numbers 456/418, 3494/856 is

LCM of Numerators i.e. for 456,3494 is 796632

GCF of denominators i.e. for 418,856 is 2.

Thus, LCM of Fractions is 398316.Finally, LCM of Fractions for 456/418, 3494/856 is 398316.