Least Common Multiple of 400/640, 808/105, 546/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/640, 808/105, 546/401 quickly i.e. 11029200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/640, 808/105, 546/401 is 11029200.

LCM(400/640, 808/105, 546/401) = 11029200

LCM of 400/640, 808/105, 546/401

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 400/640,808/105,546/401

Given numbers are 400/640,808/105,546/401

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 400,808,546

Least Common Multiple of Numerators i.e. LCM of 400,808,546 is 11029200.

GCF of Denominators means GCF of 640,105,401 as per the given fractions.

GCF of 640,105,401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,808,546

LCM of Fractions 400/640,808/105,546/401 is 11029200

2 400, 808, 546
2 200, 404, 273
2 100, 202, 273
50, 101, 273

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 101 x 273 = 11029200

Least Common Multiple of 400,808,546 with GCF Formula

Least Common Multiple of 400,808,546 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 400,808,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,808,546) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(400,808,546) x common factors =2 x 8 = 16

LCM(400,808,546) = ( 400 × 808 × 546 ) / 16

LCM(400,808,546) = 176467200 / 16

LCM(400,808,546) = 11029200


Lets's calculate GCF of 640,105,401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11029200/1

Therefore the LCM of Fractions 400/640,808/105,546/401 is 11029200

Greatest Common Factor of 640,105,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,105,401 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Greatest Common Factor

We found the factors 640,105,401 . The biggest common factor number is the GCF number.
So the greatest common factor 640,105,401 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 400/640, 808/105, 546/401

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 400/640, 808/105, 546/401?

Answer: LCM of Numerators as per given numbers 400/640, 808/105, 546/401 is

LCM of Numerators i.e. for 400,808,546 is 11029200

GCF of denominators i.e. for 640,105,401 is 1.

Thus, LCM of Fractions is 11029200.Finally, LCM of Fractions for 400/640, 808/105, 546/401 is 11029200.