Least Common Multiple of 1767/274, 7797/6854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1767/274, 7797/6854 quickly i.e. 4592433/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1767/274, 7797/6854 is 4592433/2.

LCM(1767/274, 7797/6854) = 4592433/2

LCM of 1767/274, 7797/6854

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 1767/274,7797/6854

Given numbers are 1767/274,7797/6854

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 1767,7797

Least Common Multiple of Numerators i.e. LCM of 1767,7797 is 4592433.

GCF of Denominators means GCF of 274,6854 as per the given fractions.

GCF of 274,6854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1767,7797

LCM of Fractions 1767/274,7797/6854 is 4592433/2

3 1767, 7797
589, 2599

∴ So the LCM of the given numbers is 3 x 589 x 2599 = 4592433

Least Common Multiple of 1767,7797 with GCF Formula

Least Common Multiple of 1767,7797 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 1767,7797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1767,7797) = 3

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

GCF(1767,7797) x common factors =3 x 1 = 3

LCM(1767,7797) = ( 1767 × 7797 ) / 3

LCM(1767,7797) = 13777299 / 3

LCM(1767,7797) = 4592433


Lets's calculate GCF of 274,6854

2 274, 6854
137, 3427

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4592433/2

Therefore the LCM of Fractions 1767/274,7797/6854 is 4592433/2

Greatest Common Factor of 274,6854 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,6854 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1,2,23,46,149,298,3427,6854

Greatest Common Factor

We found the factors 274,6854 . The biggest common factor number is the GCF number.
So the greatest common factor 274,6854 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1767/274, 7797/6854

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 1767/274, 7797/6854?

Answer: LCM of Numerators as per given numbers 1767/274, 7797/6854 is

LCM of Numerators i.e. for 1767,7797 is 4592433

GCF of denominators i.e. for 274,6854 is 2.

Thus, LCM of Fractions is 4592433/2.Finally, LCM of Fractions for 1767/274, 7797/6854 is 4592433/2.