Least Common Multiple of 49/407, 396/722, 414/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/407, 396/722, 414/811 quickly i.e. 446292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/407, 396/722, 414/811 is 446292.

LCM(49/407, 396/722, 414/811) = 446292

LCM of 49/407, 396/722, 414/811

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 49/407,396/722,414/811

Given numbers are 49/407,396/722,414/811

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 49,396,414

Least Common Multiple of Numerators i.e. LCM of 49,396,414 is 446292.

GCF of Denominators means GCF of 407,722,811 as per the given fractions.

GCF of 407,722,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,396,414

LCM of Fractions 49/407,396/722,414/811 is 446292

2 49, 396, 414
3 49, 198, 207
3 49, 66, 69
49, 22, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 49 x 22 x 23 = 446292

Least Common Multiple of 49,396,414 with GCF Formula

Least Common Multiple of 49,396,414 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 49,396,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,396,414) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(49,396,414) x common factors =1 x 18 = 18

LCM(49,396,414) = ( 49 × 396 × 414 ) / 18

LCM(49,396,414) = 8033256 / 18

LCM(49,396,414) = 446292


Lets's calculate GCF of 407,722,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446292/1

Therefore the LCM of Fractions 49/407,396/722,414/811 is 446292

Greatest Common Factor of 407,722,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,722,811 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 407,722,811 . The biggest common factor number is the GCF number.
So the greatest common factor 407,722,811 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 49/407, 396/722, 414/811

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 49/407, 396/722, 414/811?

Answer: LCM of Numerators as per given numbers 49/407, 396/722, 414/811 is

LCM of Numerators i.e. for 49,396,414 is 446292

GCF of denominators i.e. for 407,722,811 is 1.

Thus, LCM of Fractions is 446292.Finally, LCM of Fractions for 49/407, 396/722, 414/811 is 446292.