Least Common Multiple of 75/357, 30/434, 801/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/357, 30/434, 801/414 quickly i.e. 40050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/357, 30/434, 801/414 is 40050.

LCM(75/357, 30/434, 801/414) = 40050

LCM of 75/357, 30/434, 801/414

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 75/357,30/434,801/414

Given numbers are 75/357,30/434,801/414

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 75,30,801

Least Common Multiple of Numerators i.e. LCM of 75,30,801 is 40050.

GCF of Denominators means GCF of 357,434,414 as per the given fractions.

GCF of 357,434,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,30,801

LCM of Fractions 75/357,30/434,801/414 is 40050

3 75, 30, 801
5 25, 10, 267
5, 2, 267

∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 267 = 40050

Least Common Multiple of 75,30,801 with GCF Formula

Least Common Multiple of 75,30,801 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 75,30,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,30,801) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(75,30,801) x common factors =3 x 15 = 45

LCM(75,30,801) = ( 75 × 30 × 801 ) / 45

LCM(75,30,801) = 1802250 / 45

LCM(75,30,801) = 40050


Lets's calculate GCF of 357,434,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40050/1

Therefore the LCM of Fractions 75/357,30/434,801/414 is 40050

Greatest Common Factor of 357,434,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,434,414 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 357,434,414 . The biggest common factor number is the GCF number.
So the greatest common factor 357,434,414 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 75/357, 30/434, 801/414

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 75/357, 30/434, 801/414?

Answer: LCM of Numerators as per given numbers 75/357, 30/434, 801/414 is

LCM of Numerators i.e. for 75,30,801 is 40050

GCF of denominators i.e. for 357,434,414 is 1.

Thus, LCM of Fractions is 40050.Finally, LCM of Fractions for 75/357, 30/434, 801/414 is 40050.