Least Common Multiple of 44/52, 533/96, 900/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/52, 533/96, 900/258 quickly i.e. 2638350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/52, 533/96, 900/258 is 2638350.

LCM(44/52, 533/96, 900/258) = 2638350

LCM of 44/52, 533/96, 900/258

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 44/52,533/96,900/258

Given numbers are 44/52,533/96,900/258

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 44,533,900

Least Common Multiple of Numerators i.e. LCM of 44,533,900 is 5276700.

GCF of Denominators means GCF of 52,96,258 as per the given fractions.

GCF of 52,96,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,533,900

LCM of Fractions 44/52,533/96,900/258 is 2638350

2 44, 533, 900
2 22, 533, 450
11, 533, 225

∴ So the LCM of the given numbers is 2 x 2 x 11 x 533 x 225 = 5276700

Least Common Multiple of 44,533,900 with GCF Formula

Least Common Multiple of 44,533,900 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 44,533,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,533,900) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,533,900) x common factors =1 x 4 = 4

LCM(44,533,900) = ( 44 × 533 × 900 ) / 4

LCM(44,533,900) = 21106800 / 4

LCM(44,533,900) = 5276700


Lets's calculate GCF of 52,96,258

2 52, 96, 258
26, 48, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5276700/2

Therefore the LCM of Fractions 44/52,533/96,900/258 is 2638350

Greatest Common Factor of 52,96,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,96,258 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 52,96,258 . The biggest common factor number is the GCF number.
So the greatest common factor 52,96,258 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/52, 533/96, 900/258

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 44/52, 533/96, 900/258?

Answer: LCM of Numerators as per given numbers 44/52, 533/96, 900/258 is

LCM of Numerators i.e. for 44,533,900 is 5276700

GCF of denominators i.e. for 52,96,258 is 2.

Thus, LCM of Fractions is 2638350.Finally, LCM of Fractions for 44/52, 533/96, 900/258 is 2638350.