Least Common Multiple of 44/36, 86/98, 494/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/36, 86/98, 494/546 quickly i.e. 233662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/36, 86/98, 494/546 is 233662.

LCM(44/36, 86/98, 494/546) = 233662

LCM of 44/36, 86/98, 494/546

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 44/36,86/98,494/546

Given numbers are 44/36,86/98,494/546

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 44,86,494

Least Common Multiple of Numerators i.e. LCM of 44,86,494 is 467324.

GCF of Denominators means GCF of 36,98,546 as per the given fractions.

GCF of 36,98,546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,86,494

LCM of Fractions 44/36,86/98,494/546 is 233662

2 44, 86, 494
22, 43, 247

∴ So the LCM of the given numbers is 2 x 22 x 43 x 247 = 467324

Least Common Multiple of 44,86,494 with GCF Formula

Least Common Multiple of 44,86,494 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 44,86,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,86,494) = 2

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

GCF(44,86,494) x common factors =2 x 2 = 4

LCM(44,86,494) = ( 44 × 86 × 494 ) / 4

LCM(44,86,494) = 1869296 / 4

LCM(44,86,494) = 467324


Lets's calculate GCF of 36,98,546

2 36, 98, 546
18, 49, 273

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467324/2

Therefore the LCM of Fractions 44/36,86/98,494/546 is 233662

Greatest Common Factor of 36,98,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,98,546 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 36,98,546 . The biggest common factor number is the GCF number.
So the greatest common factor 36,98,546 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 44/36, 86/98, 494/546

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 44/36, 86/98, 494/546?

Answer: LCM of Numerators as per given numbers 44/36, 86/98, 494/546 is

LCM of Numerators i.e. for 44,86,494 is 467324

GCF of denominators i.e. for 36,98,546 is 2.

Thus, LCM of Fractions is 233662.Finally, LCM of Fractions for 44/36, 86/98, 494/546 is 233662.