Least Common Multiple of 53/241, 460/306, 506/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/241, 460/306, 506/847 quickly i.e. 268180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/241, 460/306, 506/847 is 268180.

LCM(53/241, 460/306, 506/847) = 268180

LCM of 53/241, 460/306, 506/847

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 53/241,460/306,506/847

Given numbers are 53/241,460/306,506/847

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 53,460,506

Least Common Multiple of Numerators i.e. LCM of 53,460,506 is 268180.

GCF of Denominators means GCF of 241,306,847 as per the given fractions.

GCF of 241,306,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,460,506

LCM of Fractions 53/241,460/306,506/847 is 268180

2 53, 460, 506
23 53, 230, 253
53, 10, 11

∴ So the LCM of the given numbers is 2 x 23 x 53 x 10 x 11 = 268180

Least Common Multiple of 53,460,506 with GCF Formula

Least Common Multiple of 53,460,506 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 53,460,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,460,506) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(53,460,506) x common factors =1 x 46 = 46

LCM(53,460,506) = ( 53 × 460 × 506 ) / 46

LCM(53,460,506) = 12336280 / 46

LCM(53,460,506) = 268180


Lets's calculate GCF of 241,306,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268180/1

Therefore the LCM of Fractions 53/241,460/306,506/847 is 268180

Greatest Common Factor of 241,306,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,306,847 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 241,306,847 . The biggest common factor number is the GCF number.
So the greatest common factor 241,306,847 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 53/241, 460/306, 506/847

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 53/241, 460/306, 506/847?

Answer: LCM of Numerators as per given numbers 53/241, 460/306, 506/847 is

LCM of Numerators i.e. for 53,460,506 is 268180

GCF of denominators i.e. for 241,306,847 is 1.

Thus, LCM of Fractions is 268180.Finally, LCM of Fractions for 53/241, 460/306, 506/847 is 268180.