Least Common Multiple of 383/972, 513/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 383/972, 513/262 quickly i.e. 196479/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 383/972, 513/262 is 196479/2.

LCM(383/972, 513/262) = 196479/2

LCM of 383/972, 513/262

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 383/972,513/262

Given numbers are 383/972,513/262

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 383,513

Least Common Multiple of Numerators i.e. LCM of 383,513 is 196479.

GCF of Denominators means GCF of 972,262 as per the given fractions.

GCF of 972,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 383,513

LCM of Fractions 383/972,513/262 is 196479/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 196479

Least Common Multiple of 383,513 with GCF Formula

Least Common Multiple of 383,513 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 383,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,513) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(383,513) x common factors =1 x 1 = 1

LCM(383,513) = ( 383 × 513 ) / 1

LCM(383,513) = 196479 / 1

LCM(383,513) = 196479


Lets's calculate GCF of 972,262

2 972, 262
486, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196479/2

Therefore the LCM of Fractions 383/972,513/262 is 196479/2

Greatest Common Factor of 972,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,262 By Matching Biggest Common Factor Method

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

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 972,262 . The biggest common factor number is the GCF number.
So the greatest common factor 972,262 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 383/972, 513/262

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 383/972, 513/262?

Answer: LCM of Numerators as per given numbers 383/972, 513/262 is

LCM of Numerators i.e. for 383,513 is 196479

GCF of denominators i.e. for 972,262 is 2.

Thus, LCM of Fractions is 196479/2.Finally, LCM of Fractions for 383/972, 513/262 is 196479/2.