Least Common Multiple of 38/306, 882/669, 594/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/306, 882/669, 594/485 quickly i.e. 553014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/306, 882/669, 594/485 is 553014.

LCM(38/306, 882/669, 594/485) = 553014

LCM of 38/306, 882/669, 594/485

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 38/306,882/669,594/485

Given numbers are 38/306,882/669,594/485

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 38,882,594

Least Common Multiple of Numerators i.e. LCM of 38,882,594 is 553014.

GCF of Denominators means GCF of 306,669,485 as per the given fractions.

GCF of 306,669,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,882,594

LCM of Fractions 38/306,882/669,594/485 is 553014

2 38, 882, 594
3 19, 441, 297
3 19, 147, 99
19, 49, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 49 x 33 = 553014

Least Common Multiple of 38,882,594 with GCF Formula

Least Common Multiple of 38,882,594 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 38,882,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,882,594) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(38,882,594) x common factors =2 x 18 = 36

LCM(38,882,594) = ( 38 × 882 × 594 ) / 36

LCM(38,882,594) = 19908504 / 36

LCM(38,882,594) = 553014


Lets's calculate GCF of 306,669,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553014/1

Therefore the LCM of Fractions 38/306,882/669,594/485 is 553014

Greatest Common Factor of 306,669,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,669,485 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 306,669,485 . The biggest common factor number is the GCF number.
So the greatest common factor 306,669,485 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 38/306, 882/669, 594/485

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 38/306, 882/669, 594/485?

Answer: LCM of Numerators as per given numbers 38/306, 882/669, 594/485 is

LCM of Numerators i.e. for 38,882,594 is 553014

GCF of denominators i.e. for 306,669,485 is 1.

Thus, LCM of Fractions is 553014.Finally, LCM of Fractions for 38/306, 882/669, 594/485 is 553014.