Least Common Multiple of 679/578, 526/261, 498/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/578, 526/261, 498/235 quickly i.e. 88931346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/578, 526/261, 498/235 is 88931346.

LCM(679/578, 526/261, 498/235) = 88931346

LCM of 679/578, 526/261, 498/235

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 679/578,526/261,498/235

Given numbers are 679/578,526/261,498/235

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 679,526,498

Least Common Multiple of Numerators i.e. LCM of 679,526,498 is 88931346.

GCF of Denominators means GCF of 578,261,235 as per the given fractions.

GCF of 578,261,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,526,498

LCM of Fractions 679/578,526/261,498/235 is 88931346

2 679, 526, 498
679, 263, 249

∴ So the LCM of the given numbers is 2 x 679 x 263 x 249 = 88931346

Least Common Multiple of 679,526,498 with GCF Formula

Least Common Multiple of 679,526,498 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 679,526,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,526,498) = 1

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

GCF(679,526,498) x common factors =1 x 2 = 2

LCM(679,526,498) = ( 679 × 526 × 498 ) / 2

LCM(679,526,498) = 177862692 / 2

LCM(679,526,498) = 88931346


Lets's calculate GCF of 578,261,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88931346/1

Therefore the LCM of Fractions 679/578,526/261,498/235 is 88931346

Greatest Common Factor of 578,261,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,261,235 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 578,261,235 . The biggest common factor number is the GCF number.
So the greatest common factor 578,261,235 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 679/578, 526/261, 498/235

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 679/578, 526/261, 498/235?

Answer: LCM of Numerators as per given numbers 679/578, 526/261, 498/235 is

LCM of Numerators i.e. for 679,526,498 is 88931346

GCF of denominators i.e. for 578,261,235 is 1.

Thus, LCM of Fractions is 88931346.Finally, LCM of Fractions for 679/578, 526/261, 498/235 is 88931346.