Least Common Multiple of 42/357, 42/728, 469/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/357, 42/728, 469/217 quickly i.e. 402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/357, 42/728, 469/217 is 402.

LCM(42/357, 42/728, 469/217) = 402

LCM of 42/357, 42/728, 469/217

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 42/357,42/728,469/217

Given numbers are 42/357,42/728,469/217

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 42,42,469

Least Common Multiple of Numerators i.e. LCM of 42,42,469 is 2814.

GCF of Denominators means GCF of 357,728,217 as per the given fractions.

GCF of 357,728,217 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,42,469

LCM of Fractions 42/357,42/728,469/217 is 402

2 42, 42, 469
3 21, 21, 469
7 7, 7, 469
1, 1, 67

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 67 = 2814

Least Common Multiple of 42,42,469 with GCF Formula

Least Common Multiple of 42,42,469 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 42,42,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,42,469) = 7

common factors(in case of two or more numbers have common factors) = 42

GCF(42,42,469) x common factors =7 x 42 = 294

LCM(42,42,469) = ( 42 × 42 × 469 ) / 294

LCM(42,42,469) = 827316 / 294

LCM(42,42,469) = 2814


Lets's calculate GCF of 357,728,217

7 357, 728, 217
51, 104, 31

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2814/7

Therefore the LCM of Fractions 42/357,42/728,469/217 is 402

Greatest Common Factor of 357,728,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,728,217 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 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 357,728,217 . The biggest common factor number is the GCF number.
So the greatest common factor 357,728,217 is 7.


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 42/357, 42/728, 469/217

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 42/357, 42/728, 469/217?

Answer: LCM of Numerators as per given numbers 42/357, 42/728, 469/217 is

LCM of Numerators i.e. for 42,42,469 is 2814

GCF of denominators i.e. for 357,728,217 is 7.

Thus, LCM of Fractions is 402.Finally, LCM of Fractions for 42/357, 42/728, 469/217 is 402.