Least Common Multiple of 357/39, 224/42, 846/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/39, 224/42, 846/498 quickly i.e. 536928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/39, 224/42, 846/498 is 536928.

LCM(357/39, 224/42, 846/498) = 536928

LCM of 357/39, 224/42, 846/498

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 357/39,224/42,846/498

Given numbers are 357/39,224/42,846/498

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 357,224,846

Least Common Multiple of Numerators i.e. LCM of 357,224,846 is 1610784.

GCF of Denominators means GCF of 39,42,498 as per the given fractions.

GCF of 39,42,498 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,224,846

LCM of Fractions 357/39,224/42,846/498 is 536928

2 357, 224, 846
3 357, 112, 423
7 119, 112, 141
17, 16, 141

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 16 x 141 = 1610784

Least Common Multiple of 357,224,846 with GCF Formula

Least Common Multiple of 357,224,846 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 357,224,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,224,846) = 1

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

GCF(357,224,846) x common factors =1 x 42 = 42

LCM(357,224,846) = ( 357 × 224 × 846 ) / 42

LCM(357,224,846) = 67652928 / 42

LCM(357,224,846) = 1610784


Lets's calculate GCF of 39,42,498

3 39, 42, 498
13, 14, 166

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1610784/3

Therefore the LCM of Fractions 357/39,224/42,846/498 is 536928

Greatest Common Factor of 39,42,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,42,498 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 39,42,498 . The biggest common factor number is the GCF number.
So the greatest common factor 39,42,498 is 3.


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 357/39, 224/42, 846/498

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 357/39, 224/42, 846/498?

Answer: LCM of Numerators as per given numbers 357/39, 224/42, 846/498 is

LCM of Numerators i.e. for 357,224,846 is 1610784

GCF of denominators i.e. for 39,42,498 is 3.

Thus, LCM of Fractions is 536928.Finally, LCM of Fractions for 357/39, 224/42, 846/498 is 536928.