Least Common Multiple of 351/40, 385/69, 624/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/40, 385/69, 624/406 quickly i.e. 2162160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/40, 385/69, 624/406 is 2162160.

LCM(351/40, 385/69, 624/406) = 2162160

LCM of 351/40, 385/69, 624/406

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 351/40,385/69,624/406

Given numbers are 351/40,385/69,624/406

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 351,385,624

Least Common Multiple of Numerators i.e. LCM of 351,385,624 is 2162160.

GCF of Denominators means GCF of 40,69,406 as per the given fractions.

GCF of 40,69,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,385,624

LCM of Fractions 351/40,385/69,624/406 is 2162160

3 351, 385, 624
13 117, 385, 208
9, 385, 16

∴ So the LCM of the given numbers is 3 x 13 x 9 x 385 x 16 = 2162160

Least Common Multiple of 351,385,624 with GCF Formula

Least Common Multiple of 351,385,624 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 351,385,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,385,624) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(351,385,624) x common factors =1 x 39 = 39

LCM(351,385,624) = ( 351 × 385 × 624 ) / 39

LCM(351,385,624) = 84324240 / 39

LCM(351,385,624) = 2162160


Lets's calculate GCF of 40,69,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2162160/1

Therefore the LCM of Fractions 351/40,385/69,624/406 is 2162160

Greatest Common Factor of 40,69,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,69,406 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 40,69,406 . The biggest common factor number is the GCF number.
So the greatest common factor 40,69,406 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 351/40, 385/69, 624/406

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 351/40, 385/69, 624/406?

Answer: LCM of Numerators as per given numbers 351/40, 385/69, 624/406 is

LCM of Numerators i.e. for 351,385,624 is 2162160

GCF of denominators i.e. for 40,69,406 is 1.

Thus, LCM of Fractions is 2162160.Finally, LCM of Fractions for 351/40, 385/69, 624/406 is 2162160.