Least Common Multiple of 509/265, 1482/9558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 509/265, 1482/9558 quickly i.e. 754338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/265, 1482/9558 is 754338.

LCM(509/265, 1482/9558) = 754338

LCM of 509/265, 1482/9558

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 509/265,1482/9558

Given numbers are 509/265,1482/9558

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 509,1482

Least Common Multiple of Numerators i.e. LCM of 509,1482 is 754338.

GCF of Denominators means GCF of 265,9558 as per the given fractions.

GCF of 265,9558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,1482

LCM of Fractions 509/265,1482/9558 is 754338

Given numbers has no common factors except 1. So, there LCM is their product i.e 754338

Least Common Multiple of 509,1482 with GCF Formula

Least Common Multiple of 509,1482 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 509,1482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,1482) = 1

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

GCF(509,1482) x common factors =1 x 1 = 1

LCM(509,1482) = ( 509 × 1482 ) / 1

LCM(509,1482) = 754338 / 1

LCM(509,1482) = 754338


Lets's calculate GCF of 265,9558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754338/1

Therefore the LCM of Fractions 509/265,1482/9558 is 754338

Greatest Common Factor of 265,9558 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,9558 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 9558

List of positive integer factors of 9558 that divides 9558 without a remainder.

1,2,3,6,9,18,27,54,59,81,118,162,177,354,531,1062,1593,3186,4779,9558

Greatest Common Factor

We found the factors 265,9558 . The biggest common factor number is the GCF number.
So the greatest common factor 265,9558 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 509/265, 1482/9558

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 509/265, 1482/9558?

Answer: LCM of Numerators as per given numbers 509/265, 1482/9558 is

LCM of Numerators i.e. for 509,1482 is 754338

GCF of denominators i.e. for 265,9558 is 1.

Thus, LCM of Fractions is 754338.Finally, LCM of Fractions for 509/265, 1482/9558 is 754338.