Least Common Multiple of 47/394, 549/474, 237/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/394, 549/474, 237/162 quickly i.e. 2038437/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/394, 549/474, 237/162 is 2038437/2.

LCM(47/394, 549/474, 237/162) = 2038437/2

LCM of 47/394, 549/474, 237/162

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 47/394,549/474,237/162

Given numbers are 47/394,549/474,237/162

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 47,549,237

Least Common Multiple of Numerators i.e. LCM of 47,549,237 is 2038437.

GCF of Denominators means GCF of 394,474,162 as per the given fractions.

GCF of 394,474,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,549,237

LCM of Fractions 47/394,549/474,237/162 is 2038437/2

3 47, 549, 237
47, 183, 79

∴ So the LCM of the given numbers is 3 x 47 x 183 x 79 = 2038437

Least Common Multiple of 47,549,237 with GCF Formula

Least Common Multiple of 47,549,237 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 47,549,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,549,237) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,549,237) x common factors =1 x 3 = 3

LCM(47,549,237) = ( 47 × 549 × 237 ) / 3

LCM(47,549,237) = 6115311 / 3

LCM(47,549,237) = 2038437


Lets's calculate GCF of 394,474,162

2 394, 474, 162
197, 237, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2038437/2

Therefore the LCM of Fractions 47/394,549/474,237/162 is 2038437/2

Greatest Common Factor of 394,474,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,474,162 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 394,474,162 . The biggest common factor number is the GCF number.
So the greatest common factor 394,474,162 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 47/394, 549/474, 237/162

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 47/394, 549/474, 237/162?

Answer: LCM of Numerators as per given numbers 47/394, 549/474, 237/162 is

LCM of Numerators i.e. for 47,549,237 is 2038437

GCF of denominators i.e. for 394,474,162 is 2.

Thus, LCM of Fractions is 2038437/2.Finally, LCM of Fractions for 47/394, 549/474, 237/162 is 2038437/2.