Least Common Multiple of 550/10, 494/95, 702/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/10, 494/95, 702/255 quickly i.e. 733590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/10, 494/95, 702/255 is 733590.

LCM(550/10, 494/95, 702/255) = 733590

LCM of 550/10, 494/95, 702/255

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 550/10,494/95,702/255

Given numbers are 550/10,494/95,702/255

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 550,494,702

Least Common Multiple of Numerators i.e. LCM of 550,494,702 is 3667950.

GCF of Denominators means GCF of 10,95,255 as per the given fractions.

GCF of 10,95,255 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,494,702

LCM of Fractions 550/10,494/95,702/255 is 733590

2 550, 494, 702
13 275, 247, 351
275, 19, 27

∴ So the LCM of the given numbers is 2 x 13 x 275 x 19 x 27 = 3667950

Least Common Multiple of 550,494,702 with GCF Formula

Least Common Multiple of 550,494,702 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 550,494,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,494,702) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(550,494,702) x common factors =2 x 26 = 52

LCM(550,494,702) = ( 550 × 494 × 702 ) / 52

LCM(550,494,702) = 190733400 / 52

LCM(550,494,702) = 3667950


Lets's calculate GCF of 10,95,255

5 10, 95, 255
2, 19, 51

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3667950/5

Therefore the LCM of Fractions 550/10,494/95,702/255 is 733590

Greatest Common Factor of 10,95,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,95,255 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 10,95,255 . The biggest common factor number is the GCF number.
So the greatest common factor 10,95,255 is 5.


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 550/10, 494/95, 702/255

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 550/10, 494/95, 702/255?

Answer: LCM of Numerators as per given numbers 550/10, 494/95, 702/255 is

LCM of Numerators i.e. for 550,494,702 is 3667950

GCF of denominators i.e. for 10,95,255 is 5.

Thus, LCM of Fractions is 733590.Finally, LCM of Fractions for 550/10, 494/95, 702/255 is 733590.