Least Common Multiple of 98/357, 734/271, 723/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/357, 734/271, 723/423 quickly i.e. 26003418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/357, 734/271, 723/423 is 26003418.

LCM(98/357, 734/271, 723/423) = 26003418

LCM of 98/357, 734/271, 723/423

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 98/357,734/271,723/423

Given numbers are 98/357,734/271,723/423

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 98,734,723

Least Common Multiple of Numerators i.e. LCM of 98,734,723 is 26003418.

GCF of Denominators means GCF of 357,271,423 as per the given fractions.

GCF of 357,271,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,734,723

LCM of Fractions 98/357,734/271,723/423 is 26003418

2 98, 734, 723
49, 367, 723

∴ So the LCM of the given numbers is 2 x 49 x 367 x 723 = 26003418

Least Common Multiple of 98,734,723 with GCF Formula

Least Common Multiple of 98,734,723 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 98,734,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,734,723) = 1

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

GCF(98,734,723) x common factors =1 x 2 = 2

LCM(98,734,723) = ( 98 × 734 × 723 ) / 2

LCM(98,734,723) = 52006836 / 2

LCM(98,734,723) = 26003418


Lets's calculate GCF of 357,271,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26003418/1

Therefore the LCM of Fractions 98/357,734/271,723/423 is 26003418

Greatest Common Factor of 357,271,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,271,423 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 357,271,423 . The biggest common factor number is the GCF number.
So the greatest common factor 357,271,423 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 98/357, 734/271, 723/423

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 98/357, 734/271, 723/423?

Answer: LCM of Numerators as per given numbers 98/357, 734/271, 723/423 is

LCM of Numerators i.e. for 98,734,723 is 26003418

GCF of denominators i.e. for 357,271,423 is 1.

Thus, LCM of Fractions is 26003418.Finally, LCM of Fractions for 98/357, 734/271, 723/423 is 26003418.