Least Common Multiple of 64/282, 38/374, 224/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/282, 38/374, 224/554 quickly i.e. 4256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/282, 38/374, 224/554 is 4256.

LCM(64/282, 38/374, 224/554) = 4256

LCM of 64/282, 38/374, 224/554

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 64/282,38/374,224/554

Given numbers are 64/282,38/374,224/554

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 64,38,224

Least Common Multiple of Numerators i.e. LCM of 64,38,224 is 8512.

GCF of Denominators means GCF of 282,374,554 as per the given fractions.

GCF of 282,374,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,38,224

LCM of Fractions 64/282,38/374,224/554 is 4256

2 64, 38, 224
2 32, 19, 112
2 16, 19, 56
2 8, 19, 28
2 4, 19, 14
2, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 19 x 7 = 8512

Least Common Multiple of 64,38,224 with GCF Formula

Least Common Multiple of 64,38,224 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 64,38,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,38,224) = 2

common factors(in case of two or more numbers have common factors) = 32

GCF(64,38,224) x common factors =2 x 32 = 64

LCM(64,38,224) = ( 64 × 38 × 224 ) / 64

LCM(64,38,224) = 544768 / 64

LCM(64,38,224) = 8512


Lets's calculate GCF of 282,374,554

2 282, 374, 554
141, 187, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8512/2

Therefore the LCM of Fractions 64/282,38/374,224/554 is 4256

Greatest Common Factor of 282,374,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,374,554 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 282,374,554 . The biggest common factor number is the GCF number.
So the greatest common factor 282,374,554 is 2.


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 64/282, 38/374, 224/554

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 64/282, 38/374, 224/554?

Answer: LCM of Numerators as per given numbers 64/282, 38/374, 224/554 is

LCM of Numerators i.e. for 64,38,224 is 8512

GCF of denominators i.e. for 282,374,554 is 2.

Thus, LCM of Fractions is 4256.Finally, LCM of Fractions for 64/282, 38/374, 224/554 is 4256.