Least Common Multiple of 73/57, 86/70, 83/31, 63/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/57, 86/70, 83/31, 63/323 quickly i.e. 32827662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/57, 86/70, 83/31, 63/323 is 32827662.

LCM(73/57, 86/70, 83/31, 63/323) = 32827662

LCM of 73/57, 86/70, 83/31, 63/323

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 73/57,86/70,83/31,63/323

Given numbers are 73/57,86/70,83/31,63/323

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 73,86,83,63

Least Common Multiple of Numerators i.e. LCM of 73,86,83,63 is 32827662.

GCF of Denominators means GCF of 57,70,31,323 as per the given fractions.

GCF of 57,70,31,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,86,83,63

LCM of Fractions 73/57,86/70,83/31,63/323 is 32827662

Given numbers has no common factors except 1. So, there LCM is their product i.e 32827662

Least Common Multiple of 73,86,83,63 with GCF Formula

Least Common Multiple of 73,86,83,63 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 73,86,83,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,86,83,63) = 1

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

GCF(73,86,83,63) x common factors =1 x 1 = 1

LCM(73,86,83,63) = ( 73 × 86 × 83 × 63 ) / 1

LCM(73,86,83,63) = 32827662 / 1

LCM(73,86,83,63) = 32827662


Lets's calculate GCF of 57,70,31,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32827662/1

Therefore the LCM of Fractions 73/57,86/70,83/31,63/323 is 32827662

Greatest Common Factor of 57,70,31,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,70,31,323 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 57,70,31,323 . The biggest common factor number is the GCF number.
So the greatest common factor 57,70,31,323 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/57, 86/70, 83/31, 63/323

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 73/57, 86/70, 83/31, 63/323?

Answer: LCM of Numerators as per given numbers 73/57, 86/70, 83/31, 63/323 is

LCM of Numerators i.e. for 73,86,83,63 is 32827662

GCF of denominators i.e. for 57,70,31,323 is 1.

Thus, LCM of Fractions is 32827662.Finally, LCM of Fractions for 73/57, 86/70, 83/31, 63/323 is 32827662.