Least Common Multiple of 414/317, 3496/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/317, 3496/772 quickly i.e. 31464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/317, 3496/772 is 31464.

LCM(414/317, 3496/772) = 31464

LCM of 414/317, 3496/772

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 414/317,3496/772

Given numbers are 414/317,3496/772

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 414,3496

Least Common Multiple of Numerators i.e. LCM of 414,3496 is 31464.

GCF of Denominators means GCF of 317,772 as per the given fractions.

GCF of 317,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,3496

LCM of Fractions 414/317,3496/772 is 31464

2 414, 3496
23 207, 1748
9, 76

∴ So the LCM of the given numbers is 2 x 23 x 9 x 76 = 31464

Least Common Multiple of 414,3496 with GCF Formula

Least Common Multiple of 414,3496 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 414,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,3496) = 46

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

GCF(414,3496) x common factors =46 x 1 = 46

LCM(414,3496) = ( 414 × 3496 ) / 46

LCM(414,3496) = 1447344 / 46

LCM(414,3496) = 31464


Lets's calculate GCF of 317,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31464/1

Therefore the LCM of Fractions 414/317,3496/772 is 31464

Greatest Common Factor of 317,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,772 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 317,772 . The biggest common factor number is the GCF number.
So the greatest common factor 317,772 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 414/317, 3496/772

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 414/317, 3496/772?

Answer: LCM of Numerators as per given numbers 414/317, 3496/772 is

LCM of Numerators i.e. for 414,3496 is 31464

GCF of denominators i.e. for 317,772 is 1.

Thus, LCM of Fractions is 31464.Finally, LCM of Fractions for 414/317, 3496/772 is 31464.