Least Common Multiple of 85/366, 533/164, 804/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 85/366, 533/164, 804/936 quickly i.e. 18212610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/366, 533/164, 804/936 is 18212610.

LCM(85/366, 533/164, 804/936) = 18212610

LCM of 85/366, 533/164, 804/936

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 85/366,533/164,804/936

Given numbers are 85/366,533/164,804/936

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 85,533,804

Least Common Multiple of Numerators i.e. LCM of 85,533,804 is 36425220.

GCF of Denominators means GCF of 366,164,936 as per the given fractions.

GCF of 366,164,936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,533,804

LCM of Fractions 85/366,533/164,804/936 is 18212610

Given numbers has no common factors except 1. So, there LCM is their product i.e 36425220

Least Common Multiple of 85,533,804 with GCF Formula

Least Common Multiple of 85,533,804 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 85,533,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,533,804) = 1

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

GCF(85,533,804) x common factors =1 x 1 = 1

LCM(85,533,804) = ( 85 × 533 × 804 ) / 1

LCM(85,533,804) = 36425220 / 1

LCM(85,533,804) = 36425220


Lets's calculate GCF of 366,164,936

2 366, 164, 936
183, 82, 468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36425220/2

Therefore the LCM of Fractions 85/366,533/164,804/936 is 18212610

Greatest Common Factor of 366,164,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,164,936 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 366,164,936 . The biggest common factor number is the GCF number.
So the greatest common factor 366,164,936 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 85/366, 533/164, 804/936

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 85/366, 533/164, 804/936?

Answer: LCM of Numerators as per given numbers 85/366, 533/164, 804/936 is

LCM of Numerators i.e. for 85,533,804 is 36425220

GCF of denominators i.e. for 366,164,936 is 2.

Thus, LCM of Fractions is 18212610.Finally, LCM of Fractions for 85/366, 533/164, 804/936 is 18212610.