Least Common Multiple of 415/93, 843/16, 160/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 415/93, 843/16, 160/922 quickly i.e. 11195040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 415/93, 843/16, 160/922 is 11195040.

LCM(415/93, 843/16, 160/922) = 11195040

LCM of 415/93, 843/16, 160/922

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 415/93,843/16,160/922

Given numbers are 415/93,843/16,160/922

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 415,843,160

Least Common Multiple of Numerators i.e. LCM of 415,843,160 is 11195040.

GCF of Denominators means GCF of 93,16,922 as per the given fractions.

GCF of 93,16,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 415,843,160

LCM of Fractions 415/93,843/16,160/922 is 11195040

5 415, 843, 160
83, 843, 32

∴ So the LCM of the given numbers is 5 x 83 x 843 x 32 = 11195040

Least Common Multiple of 415,843,160 with GCF Formula

Least Common Multiple of 415,843,160 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 415,843,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,843,160) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(415,843,160) x common factors =1 x 5 = 5

LCM(415,843,160) = ( 415 × 843 × 160 ) / 5

LCM(415,843,160) = 55975200 / 5

LCM(415,843,160) = 11195040


Lets's calculate GCF of 93,16,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11195040/1

Therefore the LCM of Fractions 415/93,843/16,160/922 is 11195040

Greatest Common Factor of 93,16,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,16,922 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 93,16,922 . The biggest common factor number is the GCF number.
So the greatest common factor 93,16,922 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 415/93, 843/16, 160/922

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 415/93, 843/16, 160/922?

Answer: LCM of Numerators as per given numbers 415/93, 843/16, 160/922 is

LCM of Numerators i.e. for 415,843,160 is 11195040

GCF of denominators i.e. for 93,16,922 is 1.

Thus, LCM of Fractions is 11195040.Finally, LCM of Fractions for 415/93, 843/16, 160/922 is 11195040.