Least Common Multiple of 768/998, 170/702, 193/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/998, 170/702, 193/552 quickly i.e. 6299520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/998, 170/702, 193/552 is 6299520.

LCM(768/998, 170/702, 193/552) = 6299520

LCM of 768/998, 170/702, 193/552

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 768/998,170/702,193/552

Given numbers are 768/998,170/702,193/552

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 768,170,193

Least Common Multiple of Numerators i.e. LCM of 768,170,193 is 12599040.

GCF of Denominators means GCF of 998,702,552 as per the given fractions.

GCF of 998,702,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,170,193

LCM of Fractions 768/998,170/702,193/552 is 6299520

2 768, 170, 193
384, 85, 193

∴ So the LCM of the given numbers is 2 x 384 x 85 x 193 = 12599040

Least Common Multiple of 768,170,193 with GCF Formula

Least Common Multiple of 768,170,193 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 768,170,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,170,193) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(768,170,193) x common factors =1 x 2 = 2

LCM(768,170,193) = ( 768 × 170 × 193 ) / 2

LCM(768,170,193) = 25198080 / 2

LCM(768,170,193) = 12599040


Lets's calculate GCF of 998,702,552

2 998, 702, 552
499, 351, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12599040/2

Therefore the LCM of Fractions 768/998,170/702,193/552 is 6299520

Greatest Common Factor of 998,702,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,702,552 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 998,702,552 . The biggest common factor number is the GCF number.
So the greatest common factor 998,702,552 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 768/998, 170/702, 193/552

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 768/998, 170/702, 193/552?

Answer: LCM of Numerators as per given numbers 768/998, 170/702, 193/552 is

LCM of Numerators i.e. for 768,170,193 is 12599040

GCF of denominators i.e. for 998,702,552 is 2.

Thus, LCM of Fractions is 6299520.Finally, LCM of Fractions for 768/998, 170/702, 193/552 is 6299520.