Least Common Multiple of 27/448, 276/156, 457/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/448, 276/156, 457/996 quickly i.e. 283797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/448, 276/156, 457/996 is 283797.

LCM(27/448, 276/156, 457/996) = 283797

LCM of 27/448, 276/156, 457/996

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 27/448,276/156,457/996

Given numbers are 27/448,276/156,457/996

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 27,276,457

Least Common Multiple of Numerators i.e. LCM of 27,276,457 is 1135188.

GCF of Denominators means GCF of 448,156,996 as per the given fractions.

GCF of 448,156,996 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,276,457

LCM of Fractions 27/448,276/156,457/996 is 283797

3 27, 276, 457
9, 92, 457

∴ So the LCM of the given numbers is 3 x 9 x 92 x 457 = 1135188

Least Common Multiple of 27,276,457 with GCF Formula

Least Common Multiple of 27,276,457 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 27,276,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,276,457) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(27,276,457) x common factors =1 x 3 = 3

LCM(27,276,457) = ( 27 × 276 × 457 ) / 3

LCM(27,276,457) = 3405564 / 3

LCM(27,276,457) = 1135188


Lets's calculate GCF of 448,156,996

2 448, 156, 996
2 224, 78, 498
112, 39, 249

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1135188/4

Therefore the LCM of Fractions 27/448,276/156,457/996 is 283797

Greatest Common Factor of 448,156,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,156,996 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 448,156,996 . The biggest common factor number is the GCF number.
So the greatest common factor 448,156,996 is 4.


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 27/448, 276/156, 457/996

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 27/448, 276/156, 457/996?

Answer: LCM of Numerators as per given numbers 27/448, 276/156, 457/996 is

LCM of Numerators i.e. for 27,276,457 is 1135188

GCF of denominators i.e. for 448,156,996 is 4.

Thus, LCM of Fractions is 283797.Finally, LCM of Fractions for 27/448, 276/156, 457/996 is 283797.