Least Common Multiple of 98/496, 665/966, 805/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/496, 665/966, 805/738 quickly i.e. 107065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/496, 665/966, 805/738 is 107065.

LCM(98/496, 665/966, 805/738) = 107065

LCM of 98/496, 665/966, 805/738

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 98/496,665/966,805/738

Given numbers are 98/496,665/966,805/738

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 98,665,805

Least Common Multiple of Numerators i.e. LCM of 98,665,805 is 214130.

GCF of Denominators means GCF of 496,966,738 as per the given fractions.

GCF of 496,966,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,665,805

LCM of Fractions 98/496,665/966,805/738 is 107065

5 98, 665, 805
7 98, 133, 161
14, 19, 23

∴ So the LCM of the given numbers is 5 x 7 x 14 x 19 x 23 = 214130

Least Common Multiple of 98,665,805 with GCF Formula

Least Common Multiple of 98,665,805 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 98,665,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,665,805) = 7

common factors(in case of two or more numbers have common factors) = 35

GCF(98,665,805) x common factors =7 x 35 = 245

LCM(98,665,805) = ( 98 × 665 × 805 ) / 245

LCM(98,665,805) = 52461850 / 245

LCM(98,665,805) = 214130


Lets's calculate GCF of 496,966,738

2 496, 966, 738
248, 483, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214130/2

Therefore the LCM of Fractions 98/496,665/966,805/738 is 107065

Greatest Common Factor of 496,966,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,966,738 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 496,966,738 . The biggest common factor number is the GCF number.
So the greatest common factor 496,966,738 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 98/496, 665/966, 805/738

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 98/496, 665/966, 805/738?

Answer: LCM of Numerators as per given numbers 98/496, 665/966, 805/738 is

LCM of Numerators i.e. for 98,665,805 is 214130

GCF of denominators i.e. for 496,966,738 is 2.

Thus, LCM of Fractions is 107065.Finally, LCM of Fractions for 98/496, 665/966, 805/738 is 107065.