Least Common Multiple of 22/543, 63/537, 363/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/543, 63/537, 363/404 quickly i.e. 15246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/543, 63/537, 363/404 is 15246.

LCM(22/543, 63/537, 363/404) = 15246

LCM of 22/543, 63/537, 363/404

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 22/543,63/537,363/404

Given numbers are 22/543,63/537,363/404

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 22,63,363

Least Common Multiple of Numerators i.e. LCM of 22,63,363 is 15246.

GCF of Denominators means GCF of 543,537,404 as per the given fractions.

GCF of 543,537,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,63,363

LCM of Fractions 22/543,63/537,363/404 is 15246

3 22, 63, 363
11 22, 21, 121
2, 21, 11

∴ So the LCM of the given numbers is 3 x 11 x 2 x 21 x 11 = 15246

Least Common Multiple of 22,63,363 with GCF Formula

Least Common Multiple of 22,63,363 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 22,63,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,63,363) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(22,63,363) x common factors =1 x 33 = 33

LCM(22,63,363) = ( 22 × 63 × 363 ) / 33

LCM(22,63,363) = 503118 / 33

LCM(22,63,363) = 15246


Lets's calculate GCF of 543,537,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15246/1

Therefore the LCM of Fractions 22/543,63/537,363/404 is 15246

Greatest Common Factor of 543,537,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,537,404 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 543,537,404 . The biggest common factor number is the GCF number.
So the greatest common factor 543,537,404 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/543, 63/537, 363/404

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 22/543, 63/537, 363/404?

Answer: LCM of Numerators as per given numbers 22/543, 63/537, 363/404 is

LCM of Numerators i.e. for 22,63,363 is 15246

GCF of denominators i.e. for 543,537,404 is 1.

Thus, LCM of Fractions is 15246.Finally, LCM of Fractions for 22/543, 63/537, 363/404 is 15246.