Least Common Multiple of 36/94, 159/67, 439/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/94, 159/67, 439/576 quickly i.e. 837612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/94, 159/67, 439/576 is 837612.

LCM(36/94, 159/67, 439/576) = 837612

LCM of 36/94, 159/67, 439/576

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 36/94,159/67,439/576

Given numbers are 36/94,159/67,439/576

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 36,159,439

Least Common Multiple of Numerators i.e. LCM of 36,159,439 is 837612.

GCF of Denominators means GCF of 94,67,576 as per the given fractions.

GCF of 94,67,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,159,439

LCM of Fractions 36/94,159/67,439/576 is 837612

3 36, 159, 439
12, 53, 439

∴ So the LCM of the given numbers is 3 x 12 x 53 x 439 = 837612

Least Common Multiple of 36,159,439 with GCF Formula

Least Common Multiple of 36,159,439 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 36,159,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,159,439) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,159,439) x common factors =1 x 3 = 3

LCM(36,159,439) = ( 36 × 159 × 439 ) / 3

LCM(36,159,439) = 2512836 / 3

LCM(36,159,439) = 837612


Lets's calculate GCF of 94,67,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837612/1

Therefore the LCM of Fractions 36/94,159/67,439/576 is 837612

Greatest Common Factor of 94,67,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,67,576 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 67

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

1,67

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 94,67,576 . The biggest common factor number is the GCF number.
So the greatest common factor 94,67,576 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/94, 159/67, 439/576

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 36/94, 159/67, 439/576?

Answer: LCM of Numerators as per given numbers 36/94, 159/67, 439/576 is

LCM of Numerators i.e. for 36,159,439 is 837612

GCF of denominators i.e. for 94,67,576 is 1.

Thus, LCM of Fractions is 837612.Finally, LCM of Fractions for 36/94, 159/67, 439/576 is 837612.