Least Common Multiple of 84/35, 93/50, 73/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/35, 93/50, 73/986 quickly i.e. 190092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/35, 93/50, 73/986 is 190092.

LCM(84/35, 93/50, 73/986) = 190092

LCM of 84/35, 93/50, 73/986

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 84/35,93/50,73/986

Given numbers are 84/35,93/50,73/986

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 84,93,73

Least Common Multiple of Numerators i.e. LCM of 84,93,73 is 190092.

GCF of Denominators means GCF of 35,50,986 as per the given fractions.

GCF of 35,50,986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,93,73

LCM of Fractions 84/35,93/50,73/986 is 190092

3 84, 93, 73
28, 31, 73

∴ So the LCM of the given numbers is 3 x 28 x 31 x 73 = 190092

Least Common Multiple of 84,93,73 with GCF Formula

Least Common Multiple of 84,93,73 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 84,93,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,93,73) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,93,73) x common factors =1 x 3 = 3

LCM(84,93,73) = ( 84 × 93 × 73 ) / 3

LCM(84,93,73) = 570276 / 3

LCM(84,93,73) = 190092


Lets's calculate GCF of 35,50,986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190092/1

Therefore the LCM of Fractions 84/35,93/50,73/986 is 190092

Greatest Common Factor of 35,50,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,50,986 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 35,50,986 . The biggest common factor number is the GCF number.
So the greatest common factor 35,50,986 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/35, 93/50, 73/986

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 84/35, 93/50, 73/986?

Answer: LCM of Numerators as per given numbers 84/35, 93/50, 73/986 is

LCM of Numerators i.e. for 84,93,73 is 190092

GCF of denominators i.e. for 35,50,986 is 1.

Thus, LCM of Fractions is 190092.Finally, LCM of Fractions for 84/35, 93/50, 73/986 is 190092.