Least Common Multiple of 699/48, 451/16, 506/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 699/48, 451/16, 506/368 quickly i.e. 14501454/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/48, 451/16, 506/368 is 14501454/16.

LCM(699/48, 451/16, 506/368) = 14501454/16

LCM of 699/48, 451/16, 506/368

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 699/48,451/16,506/368

Given numbers are 699/48,451/16,506/368

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 699,451,506

Least Common Multiple of Numerators i.e. LCM of 699,451,506 is 14501454.

GCF of Denominators means GCF of 48,16,368 as per the given fractions.

GCF of 48,16,368 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,451,506

LCM of Fractions 699/48,451/16,506/368 is 14501454/16

11 699, 451, 506
699, 41, 46

∴ So the LCM of the given numbers is 11 x 699 x 41 x 46 = 14501454

Least Common Multiple of 699,451,506 with GCF Formula

Least Common Multiple of 699,451,506 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 699,451,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,451,506) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(699,451,506) x common factors =1 x 11 = 11

LCM(699,451,506) = ( 699 × 451 × 506 ) / 11

LCM(699,451,506) = 159515994 / 11

LCM(699,451,506) = 14501454


Lets's calculate GCF of 48,16,368

2 48, 16, 368
2 24, 8, 184
2 12, 4, 92
2 6, 2, 46
3, 1, 23

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14501454/16

Therefore the LCM of Fractions 699/48,451/16,506/368 is 14501454/16

Greatest Common Factor of 48,16,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,16,368 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 48,16,368 . The biggest common factor number is the GCF number.
So the greatest common factor 48,16,368 is 16.


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 699/48, 451/16, 506/368

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 699/48, 451/16, 506/368?

Answer: LCM of Numerators as per given numbers 699/48, 451/16, 506/368 is

LCM of Numerators i.e. for 699,451,506 is 14501454

GCF of denominators i.e. for 48,16,368 is 16.

Thus, LCM of Fractions is 14501454/16.Finally, LCM of Fractions for 699/48, 451/16, 506/368 is 14501454/16.