Least Common Multiple of 62/592, 37/909, 305/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/592, 37/909, 305/556 quickly i.e. 699670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/592, 37/909, 305/556 is 699670.

LCM(62/592, 37/909, 305/556) = 699670

LCM of 62/592, 37/909, 305/556

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 62/592,37/909,305/556

Given numbers are 62/592,37/909,305/556

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 62,37,305

Least Common Multiple of Numerators i.e. LCM of 62,37,305 is 699670.

GCF of Denominators means GCF of 592,909,556 as per the given fractions.

GCF of 592,909,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,37,305

LCM of Fractions 62/592,37/909,305/556 is 699670

Given numbers has no common factors except 1. So, there LCM is their product i.e 699670

Least Common Multiple of 62,37,305 with GCF Formula

Least Common Multiple of 62,37,305 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 62,37,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,37,305) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(62,37,305) x common factors =1 x 1 = 1

LCM(62,37,305) = ( 62 × 37 × 305 ) / 1

LCM(62,37,305) = 699670 / 1

LCM(62,37,305) = 699670


Lets's calculate GCF of 592,909,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699670/1

Therefore the LCM of Fractions 62/592,37/909,305/556 is 699670

Greatest Common Factor of 592,909,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,909,556 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 592,909,556 . The biggest common factor number is the GCF number.
So the greatest common factor 592,909,556 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 62/592, 37/909, 305/556

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 62/592, 37/909, 305/556?

Answer: LCM of Numerators as per given numbers 62/592, 37/909, 305/556 is

LCM of Numerators i.e. for 62,37,305 is 699670

GCF of denominators i.e. for 592,909,556 is 1.

Thus, LCM of Fractions is 699670.Finally, LCM of Fractions for 62/592, 37/909, 305/556 is 699670.