Least Common Multiple of 774/804, 3426/6541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 774/804, 3426/6541 quickly i.e. 441954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 774/804, 3426/6541 is 441954.

LCM(774/804, 3426/6541) = 441954

LCM of 774/804, 3426/6541

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 774/804,3426/6541

Given numbers are 774/804,3426/6541

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 774,3426

Least Common Multiple of Numerators i.e. LCM of 774,3426 is 441954.

GCF of Denominators means GCF of 804,6541 as per the given fractions.

GCF of 804,6541 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 774,3426

LCM of Fractions 774/804,3426/6541 is 441954

2 774, 3426
3 387, 1713
129, 571

∴ So the LCM of the given numbers is 2 x 3 x 129 x 571 = 441954

Least Common Multiple of 774,3426 with GCF Formula

Least Common Multiple of 774,3426 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 774,3426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,3426) = 6

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

GCF(774,3426) x common factors =6 x 1 = 6

LCM(774,3426) = ( 774 × 3426 ) / 6

LCM(774,3426) = 2651724 / 6

LCM(774,3426) = 441954


Lets's calculate GCF of 804,6541

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441954/1

Therefore the LCM of Fractions 774/804,3426/6541 is 441954

Greatest Common Factor of 804,6541 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,6541 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 6541

List of positive integer factors of 6541 that divides 6541 without a remainder.

1,31,211,6541

Greatest Common Factor

We found the factors 804,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 804,6541 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 774/804, 3426/6541

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 774/804, 3426/6541?

Answer: LCM of Numerators as per given numbers 774/804, 3426/6541 is

LCM of Numerators i.e. for 774,3426 is 441954

GCF of denominators i.e. for 804,6541 is 1.

Thus, LCM of Fractions is 441954.Finally, LCM of Fractions for 774/804, 3426/6541 is 441954.