Least Common Multiple of 534/34, 898/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 534/34, 898/641 quickly i.e. 239766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/34, 898/641 is 239766.

LCM(534/34, 898/641) = 239766

LCM of 534/34, 898/641

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 534/34,898/641

Given numbers are 534/34,898/641

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 534,898

Least Common Multiple of Numerators i.e. LCM of 534,898 is 239766.

GCF of Denominators means GCF of 34,641 as per the given fractions.

GCF of 34,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,898

LCM of Fractions 534/34,898/641 is 239766

2 534, 898
267, 449

∴ So the LCM of the given numbers is 2 x 267 x 449 = 239766

Least Common Multiple of 534,898 with GCF Formula

Least Common Multiple of 534,898 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 534,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,898) = 2

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

GCF(534,898) x common factors =2 x 1 = 2

LCM(534,898) = ( 534 × 898 ) / 2

LCM(534,898) = 479532 / 2

LCM(534,898) = 239766


Lets's calculate GCF of 34,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239766/1

Therefore the LCM of Fractions 534/34,898/641 is 239766

Greatest Common Factor of 34,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,641 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 34,641 . The biggest common factor number is the GCF number.
So the greatest common factor 34,641 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 534/34, 898/641

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 534/34, 898/641?

Answer: LCM of Numerators as per given numbers 534/34, 898/641 is

LCM of Numerators i.e. for 534,898 is 239766

GCF of denominators i.e. for 34,641 is 1.

Thus, LCM of Fractions is 239766.Finally, LCM of Fractions for 534/34, 898/641 is 239766.