Least Common Multiple of 32/67, 808/54, 103/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/67, 808/54, 103/566 quickly i.e. 332896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/67, 808/54, 103/566 is 332896.

LCM(32/67, 808/54, 103/566) = 332896

LCM of 32/67, 808/54, 103/566

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 32/67,808/54,103/566

Given numbers are 32/67,808/54,103/566

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 32,808,103

Least Common Multiple of Numerators i.e. LCM of 32,808,103 is 332896.

GCF of Denominators means GCF of 67,54,566 as per the given fractions.

GCF of 67,54,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,808,103

LCM of Fractions 32/67,808/54,103/566 is 332896

2 32, 808, 103
2 16, 404, 103
2 8, 202, 103
4, 101, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 101 x 103 = 332896

Least Common Multiple of 32,808,103 with GCF Formula

Least Common Multiple of 32,808,103 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 32,808,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,808,103) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,808,103) x common factors =1 x 8 = 8

LCM(32,808,103) = ( 32 × 808 × 103 ) / 8

LCM(32,808,103) = 2663168 / 8

LCM(32,808,103) = 332896


Lets's calculate GCF of 67,54,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332896/1

Therefore the LCM of Fractions 32/67,808/54,103/566 is 332896

Greatest Common Factor of 67,54,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,54,566 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 67,54,566 . The biggest common factor number is the GCF number.
So the greatest common factor 67,54,566 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/67, 808/54, 103/566

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 32/67, 808/54, 103/566?

Answer: LCM of Numerators as per given numbers 32/67, 808/54, 103/566 is

LCM of Numerators i.e. for 32,808,103 is 332896

GCF of denominators i.e. for 67,54,566 is 1.

Thus, LCM of Fractions is 332896.Finally, LCM of Fractions for 32/67, 808/54, 103/566 is 332896.