Least Common Multiple of 804/76, 738/53, 594/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 804/76, 738/53, 594/953 quickly i.e. 3263436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 804/76, 738/53, 594/953 is 3263436.

LCM(804/76, 738/53, 594/953) = 3263436

LCM of 804/76, 738/53, 594/953

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 804/76,738/53,594/953

Given numbers are 804/76,738/53,594/953

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 804,738,594

Least Common Multiple of Numerators i.e. LCM of 804,738,594 is 3263436.

GCF of Denominators means GCF of 76,53,953 as per the given fractions.

GCF of 76,53,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 804,738,594

LCM of Fractions 804/76,738/53,594/953 is 3263436

2 804, 738, 594
3 402, 369, 297
3 134, 123, 99
134, 41, 33

∴ So the LCM of the given numbers is 2 x 3 x 3 x 134 x 41 x 33 = 3263436

Least Common Multiple of 804,738,594 with GCF Formula

Least Common Multiple of 804,738,594 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 804,738,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,738,594) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(804,738,594) x common factors =6 x 18 = 108

LCM(804,738,594) = ( 804 × 738 × 594 ) / 108

LCM(804,738,594) = 352451088 / 108

LCM(804,738,594) = 3263436


Lets's calculate GCF of 76,53,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3263436/1

Therefore the LCM of Fractions 804/76,738/53,594/953 is 3263436

Greatest Common Factor of 76,53,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,53,953 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 76,53,953 . The biggest common factor number is the GCF number.
So the greatest common factor 76,53,953 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 804/76, 738/53, 594/953

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 804/76, 738/53, 594/953?

Answer: LCM of Numerators as per given numbers 804/76, 738/53, 594/953 is

LCM of Numerators i.e. for 804,738,594 is 3263436

GCF of denominators i.e. for 76,53,953 is 1.

Thus, LCM of Fractions is 3263436.Finally, LCM of Fractions for 804/76, 738/53, 594/953 is 3263436.