Least Common Multiple of 184/853, 548/736, 829/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 184/853, 548/736, 829/185 quickly i.e. 20897432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 184/853, 548/736, 829/185 is 20897432.

LCM(184/853, 548/736, 829/185) = 20897432

LCM of 184/853, 548/736, 829/185

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 184/853,548/736,829/185

Given numbers are 184/853,548/736,829/185

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 184,548,829

Least Common Multiple of Numerators i.e. LCM of 184,548,829 is 20897432.

GCF of Denominators means GCF of 853,736,185 as per the given fractions.

GCF of 853,736,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 184,548,829

LCM of Fractions 184/853,548/736,829/185 is 20897432

2 184, 548, 829
2 92, 274, 829
46, 137, 829

∴ So the LCM of the given numbers is 2 x 2 x 46 x 137 x 829 = 20897432

Least Common Multiple of 184,548,829 with GCF Formula

Least Common Multiple of 184,548,829 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 184,548,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,548,829) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(184,548,829) x common factors =1 x 4 = 4

LCM(184,548,829) = ( 184 × 548 × 829 ) / 4

LCM(184,548,829) = 83589728 / 4

LCM(184,548,829) = 20897432


Lets's calculate GCF of 853,736,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20897432/1

Therefore the LCM of Fractions 184/853,548/736,829/185 is 20897432

Greatest Common Factor of 853,736,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 853,736,185 By Matching Biggest Common Factor Method

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 853,736,185 . The biggest common factor number is the GCF number.
So the greatest common factor 853,736,185 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 184/853, 548/736, 829/185

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 184/853, 548/736, 829/185?

Answer: LCM of Numerators as per given numbers 184/853, 548/736, 829/185 is

LCM of Numerators i.e. for 184,548,829 is 20897432

GCF of denominators i.e. for 853,736,185 is 1.

Thus, LCM of Fractions is 20897432.Finally, LCM of Fractions for 184/853, 548/736, 829/185 is 20897432.