Least Common Multiple of 39/722, 379/320, 998/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/722, 379/320, 998/859 quickly i.e. 14751438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/722, 379/320, 998/859 is 14751438.

LCM(39/722, 379/320, 998/859) = 14751438

LCM of 39/722, 379/320, 998/859

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 39/722,379/320,998/859

Given numbers are 39/722,379/320,998/859

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 39,379,998

Least Common Multiple of Numerators i.e. LCM of 39,379,998 is 14751438.

GCF of Denominators means GCF of 722,320,859 as per the given fractions.

GCF of 722,320,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,379,998

LCM of Fractions 39/722,379/320,998/859 is 14751438

Given numbers has no common factors except 1. So, there LCM is their product i.e 14751438

Least Common Multiple of 39,379,998 with GCF Formula

Least Common Multiple of 39,379,998 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 39,379,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,379,998) = 1

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

GCF(39,379,998) x common factors =1 x 1 = 1

LCM(39,379,998) = ( 39 × 379 × 998 ) / 1

LCM(39,379,998) = 14751438 / 1

LCM(39,379,998) = 14751438


Lets's calculate GCF of 722,320,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14751438/1

Therefore the LCM of Fractions 39/722,379/320,998/859 is 14751438

Greatest Common Factor of 722,320,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,320,859 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 722,320,859 . The biggest common factor number is the GCF number.
So the greatest common factor 722,320,859 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/722, 379/320, 998/859

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 39/722, 379/320, 998/859?

Answer: LCM of Numerators as per given numbers 39/722, 379/320, 998/859 is

LCM of Numerators i.e. for 39,379,998 is 14751438

GCF of denominators i.e. for 722,320,859 is 1.

Thus, LCM of Fractions is 14751438.Finally, LCM of Fractions for 39/722, 379/320, 998/859 is 14751438.