Least Common Multiple of 321/697, 7081/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 321/697, 7081/374 quickly i.e. 2273001/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/697, 7081/374 is 2273001/17.

LCM(321/697, 7081/374) = 2273001/17

LCM of 321/697, 7081/374

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 321/697,7081/374

Given numbers are 321/697,7081/374

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 321,7081

Least Common Multiple of Numerators i.e. LCM of 321,7081 is 2273001.

GCF of Denominators means GCF of 697,374 as per the given fractions.

GCF of 697,374 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,7081

LCM of Fractions 321/697,7081/374 is 2273001/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 2273001

Least Common Multiple of 321,7081 with GCF Formula

Least Common Multiple of 321,7081 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 321,7081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,7081) = 1

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

GCF(321,7081) x common factors =1 x 1 = 1

LCM(321,7081) = ( 321 × 7081 ) / 1

LCM(321,7081) = 2273001 / 1

LCM(321,7081) = 2273001


Lets's calculate GCF of 697,374

17 697, 374
41, 22

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2273001/17

Therefore the LCM of Fractions 321/697,7081/374 is 2273001/17

Greatest Common Factor of 697,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,374 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 697,374 . The biggest common factor number is the GCF number.
So the greatest common factor 697,374 is 17.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 321/697, 7081/374

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 321/697, 7081/374?

Answer: LCM of Numerators as per given numbers 321/697, 7081/374 is

LCM of Numerators i.e. for 321,7081 is 2273001

GCF of denominators i.e. for 697,374 is 17.

Thus, LCM of Fractions is 2273001/17.Finally, LCM of Fractions for 321/697, 7081/374 is 2273001/17.