Least Common Multiple of 493/64, 916/55, 506/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/64, 916/55, 506/471 quickly i.e. 114251764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/64, 916/55, 506/471 is 114251764.

LCM(493/64, 916/55, 506/471) = 114251764

LCM of 493/64, 916/55, 506/471

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 493/64,916/55,506/471

Given numbers are 493/64,916/55,506/471

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 493,916,506

Least Common Multiple of Numerators i.e. LCM of 493,916,506 is 114251764.

GCF of Denominators means GCF of 64,55,471 as per the given fractions.

GCF of 64,55,471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,916,506

LCM of Fractions 493/64,916/55,506/471 is 114251764

2 493, 916, 506
493, 458, 253

∴ So the LCM of the given numbers is 2 x 493 x 458 x 253 = 114251764

Least Common Multiple of 493,916,506 with GCF Formula

Least Common Multiple of 493,916,506 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 493,916,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,916,506) = 1

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

GCF(493,916,506) x common factors =1 x 2 = 2

LCM(493,916,506) = ( 493 × 916 × 506 ) / 2

LCM(493,916,506) = 228503528 / 2

LCM(493,916,506) = 114251764


Lets's calculate GCF of 64,55,471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114251764/1

Therefore the LCM of Fractions 493/64,916/55,506/471 is 114251764

Greatest Common Factor of 64,55,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,55,471 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 64,55,471 . The biggest common factor number is the GCF number.
So the greatest common factor 64,55,471 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 493/64, 916/55, 506/471

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 493/64, 916/55, 506/471?

Answer: LCM of Numerators as per given numbers 493/64, 916/55, 506/471 is

LCM of Numerators i.e. for 493,916,506 is 114251764

GCF of denominators i.e. for 64,55,471 is 1.

Thus, LCM of Fractions is 114251764.Finally, LCM of Fractions for 493/64, 916/55, 506/471 is 114251764.