Least Common Multiple of 523/898, 213/126, 983/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/898, 213/126, 983/530 quickly i.e. 109505217/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/898, 213/126, 983/530 is 109505217/2.

LCM(523/898, 213/126, 983/530) = 109505217/2

LCM of 523/898, 213/126, 983/530

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 523/898,213/126,983/530

Given numbers are 523/898,213/126,983/530

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 523,213,983

Least Common Multiple of Numerators i.e. LCM of 523,213,983 is 109505217.

GCF of Denominators means GCF of 898,126,530 as per the given fractions.

GCF of 898,126,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,213,983

LCM of Fractions 523/898,213/126,983/530 is 109505217/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 109505217

Least Common Multiple of 523,213,983 with GCF Formula

Least Common Multiple of 523,213,983 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 523,213,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,213,983) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(523,213,983) x common factors =1 x 1 = 1

LCM(523,213,983) = ( 523 × 213 × 983 ) / 1

LCM(523,213,983) = 109505217 / 1

LCM(523,213,983) = 109505217


Lets's calculate GCF of 898,126,530

2 898, 126, 530
449, 63, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109505217/2

Therefore the LCM of Fractions 523/898,213/126,983/530 is 109505217/2

Greatest Common Factor of 898,126,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,126,530 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 898,126,530 . The biggest common factor number is the GCF number.
So the greatest common factor 898,126,530 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 523/898, 213/126, 983/530

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 523/898, 213/126, 983/530?

Answer: LCM of Numerators as per given numbers 523/898, 213/126, 983/530 is

LCM of Numerators i.e. for 523,213,983 is 109505217

GCF of denominators i.e. for 898,126,530 is 2.

Thus, LCM of Fractions is 109505217/2.Finally, LCM of Fractions for 523/898, 213/126, 983/530 is 109505217/2.