Least Common Multiple of 86/303, 50/325, 533/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/303, 50/325, 533/972 quickly i.e. 1145950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/303, 50/325, 533/972 is 1145950.

LCM(86/303, 50/325, 533/972) = 1145950

LCM of 86/303, 50/325, 533/972

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 86/303,50/325,533/972

Given numbers are 86/303,50/325,533/972

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 86,50,533

Least Common Multiple of Numerators i.e. LCM of 86,50,533 is 1145950.

GCF of Denominators means GCF of 303,325,972 as per the given fractions.

GCF of 303,325,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,50,533

LCM of Fractions 86/303,50/325,533/972 is 1145950

2 86, 50, 533
43, 25, 533

∴ So the LCM of the given numbers is 2 x 43 x 25 x 533 = 1145950

Least Common Multiple of 86,50,533 with GCF Formula

Least Common Multiple of 86,50,533 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 86,50,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,50,533) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,50,533) x common factors =1 x 2 = 2

LCM(86,50,533) = ( 86 × 50 × 533 ) / 2

LCM(86,50,533) = 2291900 / 2

LCM(86,50,533) = 1145950


Lets's calculate GCF of 303,325,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1145950/1

Therefore the LCM of Fractions 86/303,50/325,533/972 is 1145950

Greatest Common Factor of 303,325,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,325,972 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 303,325,972 . The biggest common factor number is the GCF number.
So the greatest common factor 303,325,972 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/303, 50/325, 533/972

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 86/303, 50/325, 533/972?

Answer: LCM of Numerators as per given numbers 86/303, 50/325, 533/972 is

LCM of Numerators i.e. for 86,50,533 is 1145950

GCF of denominators i.e. for 303,325,972 is 1.

Thus, LCM of Fractions is 1145950.Finally, LCM of Fractions for 86/303, 50/325, 533/972 is 1145950.