Least Common Multiple of 71/662, 454/304, 814/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/662, 454/304, 814/400 quickly i.e. 6559619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/662, 454/304, 814/400 is 6559619.

LCM(71/662, 454/304, 814/400) = 6559619

LCM of 71/662, 454/304, 814/400

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 71/662,454/304,814/400

Given numbers are 71/662,454/304,814/400

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 71,454,814

Least Common Multiple of Numerators i.e. LCM of 71,454,814 is 13119238.

GCF of Denominators means GCF of 662,304,400 as per the given fractions.

GCF of 662,304,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,454,814

LCM of Fractions 71/662,454/304,814/400 is 6559619

2 71, 454, 814
71, 227, 407

∴ So the LCM of the given numbers is 2 x 71 x 227 x 407 = 13119238

Least Common Multiple of 71,454,814 with GCF Formula

Least Common Multiple of 71,454,814 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 71,454,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,454,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,454,814) x common factors =1 x 2 = 2

LCM(71,454,814) = ( 71 × 454 × 814 ) / 2

LCM(71,454,814) = 26238476 / 2

LCM(71,454,814) = 13119238


Lets's calculate GCF of 662,304,400

2 662, 304, 400
331, 152, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13119238/2

Therefore the LCM of Fractions 71/662,454/304,814/400 is 6559619

Greatest Common Factor of 662,304,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,304,400 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 662,304,400 . The biggest common factor number is the GCF number.
So the greatest common factor 662,304,400 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 71/662, 454/304, 814/400

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 71/662, 454/304, 814/400?

Answer: LCM of Numerators as per given numbers 71/662, 454/304, 814/400 is

LCM of Numerators i.e. for 71,454,814 is 13119238

GCF of denominators i.e. for 662,304,400 is 2.

Thus, LCM of Fractions is 6559619.Finally, LCM of Fractions for 71/662, 454/304, 814/400 is 6559619.