Least Common Multiple of 63/550, 457/706, 609/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 63/550, 457/706, 609/224 quickly i.e. 834939/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/550, 457/706, 609/224 is 834939/2.

LCM(63/550, 457/706, 609/224) = 834939/2

LCM of 63/550, 457/706, 609/224

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 63/550,457/706,609/224

Given numbers are 63/550,457/706,609/224

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 63,457,609

Least Common Multiple of Numerators i.e. LCM of 63,457,609 is 834939.

GCF of Denominators means GCF of 550,706,224 as per the given fractions.

GCF of 550,706,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,457,609

LCM of Fractions 63/550,457/706,609/224 is 834939/2

3 63, 457, 609
7 21, 457, 203
3, 457, 29

∴ So the LCM of the given numbers is 3 x 7 x 3 x 457 x 29 = 834939

Least Common Multiple of 63,457,609 with GCF Formula

Least Common Multiple of 63,457,609 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 63,457,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,457,609) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(63,457,609) x common factors =1 x 21 = 21

LCM(63,457,609) = ( 63 × 457 × 609 ) / 21

LCM(63,457,609) = 17533719 / 21

LCM(63,457,609) = 834939


Lets's calculate GCF of 550,706,224

2 550, 706, 224
275, 353, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 834939/2

Therefore the LCM of Fractions 63/550,457/706,609/224 is 834939/2

Greatest Common Factor of 550,706,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,706,224 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

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

Greatest Common Factor

We found the factors 550,706,224 . The biggest common factor number is the GCF number.
So the greatest common factor 550,706,224 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 63/550, 457/706, 609/224

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 63/550, 457/706, 609/224?

Answer: LCM of Numerators as per given numbers 63/550, 457/706, 609/224 is

LCM of Numerators i.e. for 63,457,609 is 834939

GCF of denominators i.e. for 550,706,224 is 2.

Thus, LCM of Fractions is 834939/2.Finally, LCM of Fractions for 63/550, 457/706, 609/224 is 834939/2.