Least Common Multiple of 681/382, 575/257, 699/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 681/382, 575/257, 699/797 quickly i.e. 91236975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/382, 575/257, 699/797 is 91236975.

LCM(681/382, 575/257, 699/797) = 91236975

LCM of 681/382, 575/257, 699/797

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 681/382,575/257,699/797

Given numbers are 681/382,575/257,699/797

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 681,575,699

Least Common Multiple of Numerators i.e. LCM of 681,575,699 is 91236975.

GCF of Denominators means GCF of 382,257,797 as per the given fractions.

GCF of 382,257,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,575,699

LCM of Fractions 681/382,575/257,699/797 is 91236975

3 681, 575, 699
227, 575, 233

∴ So the LCM of the given numbers is 3 x 227 x 575 x 233 = 91236975

Least Common Multiple of 681,575,699 with GCF Formula

Least Common Multiple of 681,575,699 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 681,575,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,575,699) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(681,575,699) x common factors =1 x 3 = 3

LCM(681,575,699) = ( 681 × 575 × 699 ) / 3

LCM(681,575,699) = 273710925 / 3

LCM(681,575,699) = 91236975


Lets's calculate GCF of 382,257,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91236975/1

Therefore the LCM of Fractions 681/382,575/257,699/797 is 91236975

Greatest Common Factor of 382,257,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,257,797 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 382,257,797 . The biggest common factor number is the GCF number.
So the greatest common factor 382,257,797 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 681/382, 575/257, 699/797

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 681/382, 575/257, 699/797?

Answer: LCM of Numerators as per given numbers 681/382, 575/257, 699/797 is

LCM of Numerators i.e. for 681,575,699 is 91236975

GCF of denominators i.e. for 382,257,797 is 1.

Thus, LCM of Fractions is 91236975.Finally, LCM of Fractions for 681/382, 575/257, 699/797 is 91236975.