Least Common Multiple of 42/492, 22/549, 706/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/492, 22/549, 706/833 quickly i.e. 163086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/492, 22/549, 706/833 is 163086.

LCM(42/492, 22/549, 706/833) = 163086

LCM of 42/492, 22/549, 706/833

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 42/492,22/549,706/833

Given numbers are 42/492,22/549,706/833

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 42,22,706

Least Common Multiple of Numerators i.e. LCM of 42,22,706 is 163086.

GCF of Denominators means GCF of 492,549,833 as per the given fractions.

GCF of 492,549,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,22,706

LCM of Fractions 42/492,22/549,706/833 is 163086

2 42, 22, 706
21, 11, 353

∴ So the LCM of the given numbers is 2 x 21 x 11 x 353 = 163086

Least Common Multiple of 42,22,706 with GCF Formula

Least Common Multiple of 42,22,706 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 42,22,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,22,706) = 2

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

GCF(42,22,706) x common factors =2 x 2 = 4

LCM(42,22,706) = ( 42 × 22 × 706 ) / 4

LCM(42,22,706) = 652344 / 4

LCM(42,22,706) = 163086


Lets's calculate GCF of 492,549,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163086/1

Therefore the LCM of Fractions 42/492,22/549,706/833 is 163086

Greatest Common Factor of 492,549,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,549,833 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 492,549,833 . The biggest common factor number is the GCF number.
So the greatest common factor 492,549,833 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 42/492, 22/549, 706/833

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 42/492, 22/549, 706/833?

Answer: LCM of Numerators as per given numbers 42/492, 22/549, 706/833 is

LCM of Numerators i.e. for 42,22,706 is 163086

GCF of denominators i.e. for 492,549,833 is 1.

Thus, LCM of Fractions is 163086.Finally, LCM of Fractions for 42/492, 22/549, 706/833 is 163086.