Least Common Multiple of 3401/699, 7379/9725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3401/699, 7379/9725 quickly i.e. 25095979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3401/699, 7379/9725 is 25095979.

LCM(3401/699, 7379/9725) = 25095979

LCM of 3401/699, 7379/9725

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 3401/699,7379/9725

Given numbers are 3401/699,7379/9725

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 3401,7379

Least Common Multiple of Numerators i.e. LCM of 3401,7379 is 25095979.

GCF of Denominators means GCF of 699,9725 as per the given fractions.

GCF of 699,9725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3401,7379

LCM of Fractions 3401/699,7379/9725 is 25095979

Given numbers has no common factors except 1. So, there LCM is their product i.e 25095979

Least Common Multiple of 3401,7379 with GCF Formula

Least Common Multiple of 3401,7379 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 3401,7379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3401,7379) = 1

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

GCF(3401,7379) x common factors =1 x 1 = 1

LCM(3401,7379) = ( 3401 × 7379 ) / 1

LCM(3401,7379) = 25095979 / 1

LCM(3401,7379) = 25095979


Lets's calculate GCF of 699,9725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25095979/1

Therefore the LCM of Fractions 3401/699,7379/9725 is 25095979

Greatest Common Factor of 699,9725 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,9725 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 9725

List of positive integer factors of 9725 that divides 9725 without a remainder.

1,5,25,389,1945,9725

Greatest Common Factor

We found the factors 699,9725 . The biggest common factor number is the GCF number.
So the greatest common factor 699,9725 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3401/699, 7379/9725

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 3401/699, 7379/9725?

Answer: LCM of Numerators as per given numbers 3401/699, 7379/9725 is

LCM of Numerators i.e. for 3401,7379 is 25095979

GCF of denominators i.e. for 699,9725 is 1.

Thus, LCM of Fractions is 25095979.Finally, LCM of Fractions for 3401/699, 7379/9725 is 25095979.