Least Common Multiple of 400/16, 353/82, 154/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/16, 353/82, 154/610 quickly i.e. 5436200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/16, 353/82, 154/610 is 5436200.

LCM(400/16, 353/82, 154/610) = 5436200

LCM of 400/16, 353/82, 154/610

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 400/16,353/82,154/610

Given numbers are 400/16,353/82,154/610

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 400,353,154

Least Common Multiple of Numerators i.e. LCM of 400,353,154 is 10872400.

GCF of Denominators means GCF of 16,82,610 as per the given fractions.

GCF of 16,82,610 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,353,154

LCM of Fractions 400/16,353/82,154/610 is 5436200

2 400, 353, 154
200, 353, 77

∴ So the LCM of the given numbers is 2 x 200 x 353 x 77 = 10872400

Least Common Multiple of 400,353,154 with GCF Formula

Least Common Multiple of 400,353,154 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 400,353,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,353,154) = 1

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

GCF(400,353,154) x common factors =1 x 2 = 2

LCM(400,353,154) = ( 400 × 353 × 154 ) / 2

LCM(400,353,154) = 21744800 / 2

LCM(400,353,154) = 10872400


Lets's calculate GCF of 16,82,610

2 16, 82, 610
8, 41, 305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10872400/2

Therefore the LCM of Fractions 400/16,353/82,154/610 is 5436200

Greatest Common Factor of 16,82,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,82,610 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 16,82,610 . The biggest common factor number is the GCF number.
So the greatest common factor 16,82,610 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 400/16, 353/82, 154/610

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 400/16, 353/82, 154/610?

Answer: LCM of Numerators as per given numbers 400/16, 353/82, 154/610 is

LCM of Numerators i.e. for 400,353,154 is 10872400

GCF of denominators i.e. for 16,82,610 is 2.

Thus, LCM of Fractions is 5436200.Finally, LCM of Fractions for 400/16, 353/82, 154/610 is 5436200.