Least Common Multiple of 804/276, 1264/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 804/276, 1264/973 quickly i.e. 254064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/276, 1264/973 is 254064.

LCM(804/276, 1264/973) = 254064

LCM of 804/276, 1264/973

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 804/276,1264/973

Given numbers are 804/276,1264/973

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 804,1264

Least Common Multiple of Numerators i.e. LCM of 804,1264 is 254064.

GCF of Denominators means GCF of 276,973 as per the given fractions.

GCF of 276,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,1264

LCM of Fractions 804/276,1264/973 is 254064

2 804, 1264
2 402, 632
201, 316

∴ So the LCM of the given numbers is 2 x 2 x 201 x 316 = 254064

Least Common Multiple of 804,1264 with GCF Formula

Least Common Multiple of 804,1264 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 804,1264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,1264) = 4

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

GCF(804,1264) x common factors =4 x 1 = 4

LCM(804,1264) = ( 804 × 1264 ) / 4

LCM(804,1264) = 1016256 / 4

LCM(804,1264) = 254064


Lets's calculate GCF of 276,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254064/1

Therefore the LCM of Fractions 804/276,1264/973 is 254064

Greatest Common Factor of 276,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,973 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 276,973 . The biggest common factor number is the GCF number.
So the greatest common factor 276,973 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 804/276, 1264/973

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 804/276, 1264/973?

Answer: LCM of Numerators as per given numbers 804/276, 1264/973 is

LCM of Numerators i.e. for 804,1264 is 254064

GCF of denominators i.e. for 276,973 is 1.

Thus, LCM of Fractions is 254064.Finally, LCM of Fractions for 804/276, 1264/973 is 254064.