Least Common Multiple of 48/558, 37/602, 506/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/558, 37/602, 506/282 quickly i.e. 224664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/558, 37/602, 506/282 is 224664.

LCM(48/558, 37/602, 506/282) = 224664

LCM of 48/558, 37/602, 506/282

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 48/558,37/602,506/282

Given numbers are 48/558,37/602,506/282

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 48,37,506

Least Common Multiple of Numerators i.e. LCM of 48,37,506 is 449328.

GCF of Denominators means GCF of 558,602,282 as per the given fractions.

GCF of 558,602,282 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,37,506

LCM of Fractions 48/558,37/602,506/282 is 224664

2 48, 37, 506
24, 37, 253

∴ So the LCM of the given numbers is 2 x 24 x 37 x 253 = 449328

Least Common Multiple of 48,37,506 with GCF Formula

Least Common Multiple of 48,37,506 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 48,37,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,37,506) = 1

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

GCF(48,37,506) x common factors =1 x 2 = 2

LCM(48,37,506) = ( 48 × 37 × 506 ) / 2

LCM(48,37,506) = 898656 / 2

LCM(48,37,506) = 449328


Lets's calculate GCF of 558,602,282

2 558, 602, 282
279, 301, 141

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449328/2

Therefore the LCM of Fractions 48/558,37/602,506/282 is 224664

Greatest Common Factor of 558,602,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,602,282 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 558,602,282 . The biggest common factor number is the GCF number.
So the greatest common factor 558,602,282 is 2.


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 48/558, 37/602, 506/282

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 48/558, 37/602, 506/282?

Answer: LCM of Numerators as per given numbers 48/558, 37/602, 506/282 is

LCM of Numerators i.e. for 48,37,506 is 449328

GCF of denominators i.e. for 558,602,282 is 2.

Thus, LCM of Fractions is 224664.Finally, LCM of Fractions for 48/558, 37/602, 506/282 is 224664.