Least Common Multiple of 224/126, 512/373, 887/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/126, 512/373, 887/667 quickly i.e. 3179008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/126, 512/373, 887/667 is 3179008.

LCM(224/126, 512/373, 887/667) = 3179008

LCM of 224/126, 512/373, 887/667

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 224/126,512/373,887/667

Given numbers are 224/126,512/373,887/667

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 224,512,887

Least Common Multiple of Numerators i.e. LCM of 224,512,887 is 3179008.

GCF of Denominators means GCF of 126,373,667 as per the given fractions.

GCF of 126,373,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,512,887

LCM of Fractions 224/126,512/373,887/667 is 3179008

2 224, 512, 887
2 112, 256, 887
2 56, 128, 887
2 28, 64, 887
2 14, 32, 887
7, 16, 887

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 16 x 887 = 3179008

Least Common Multiple of 224,512,887 with GCF Formula

Least Common Multiple of 224,512,887 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 224,512,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,512,887) = 1

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

GCF(224,512,887) x common factors =1 x 32 = 32

LCM(224,512,887) = ( 224 × 512 × 887 ) / 32

LCM(224,512,887) = 101728256 / 32

LCM(224,512,887) = 3179008


Lets's calculate GCF of 126,373,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3179008/1

Therefore the LCM of Fractions 224/126,512/373,887/667 is 3179008

Greatest Common Factor of 126,373,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,373,667 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 126,373,667 . The biggest common factor number is the GCF number.
So the greatest common factor 126,373,667 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 224/126, 512/373, 887/667

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 224/126, 512/373, 887/667?

Answer: LCM of Numerators as per given numbers 224/126, 512/373, 887/667 is

LCM of Numerators i.e. for 224,512,887 is 3179008

GCF of denominators i.e. for 126,373,667 is 1.

Thus, LCM of Fractions is 3179008.Finally, LCM of Fractions for 224/126, 512/373, 887/667 is 3179008.