Least Common Multiple of 518/473, 923/555, 322/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 518/473, 923/555, 322/965 quickly i.e. 10996622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/473, 923/555, 322/965 is 10996622.

LCM(518/473, 923/555, 322/965) = 10996622

LCM of 518/473, 923/555, 322/965

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 518/473,923/555,322/965

Given numbers are 518/473,923/555,322/965

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 518,923,322

Least Common Multiple of Numerators i.e. LCM of 518,923,322 is 10996622.

GCF of Denominators means GCF of 473,555,965 as per the given fractions.

GCF of 473,555,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,923,322

LCM of Fractions 518/473,923/555,322/965 is 10996622

2 518, 923, 322
7 259, 923, 161
37, 923, 23

∴ So the LCM of the given numbers is 2 x 7 x 37 x 923 x 23 = 10996622

Least Common Multiple of 518,923,322 with GCF Formula

Least Common Multiple of 518,923,322 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 518,923,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,923,322) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(518,923,322) x common factors =1 x 14 = 14

LCM(518,923,322) = ( 518 × 923 × 322 ) / 14

LCM(518,923,322) = 153952708 / 14

LCM(518,923,322) = 10996622


Lets's calculate GCF of 473,555,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10996622/1

Therefore the LCM of Fractions 518/473,923/555,322/965 is 10996622

Greatest Common Factor of 473,555,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 473,555,965 By Matching Biggest Common Factor Method

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 473,555,965 . The biggest common factor number is the GCF number.
So the greatest common factor 473,555,965 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 518/473, 923/555, 322/965

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 518/473, 923/555, 322/965?

Answer: LCM of Numerators as per given numbers 518/473, 923/555, 322/965 is

LCM of Numerators i.e. for 518,923,322 is 10996622

GCF of denominators i.e. for 473,555,965 is 1.

Thus, LCM of Fractions is 10996622.Finally, LCM of Fractions for 518/473, 923/555, 322/965 is 10996622.