Least Common Multiple of 265/689, 2098/5629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 265/689, 2098/5629 quickly i.e. 555970/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/689, 2098/5629 is 555970/13.

LCM(265/689, 2098/5629) = 555970/13

LCM of 265/689, 2098/5629

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 265/689,2098/5629

Given numbers are 265/689,2098/5629

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 265,2098

Least Common Multiple of Numerators i.e. LCM of 265,2098 is 555970.

GCF of Denominators means GCF of 689,5629 as per the given fractions.

GCF of 689,5629 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,2098

LCM of Fractions 265/689,2098/5629 is 555970/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 555970

Least Common Multiple of 265,2098 with GCF Formula

Least Common Multiple of 265,2098 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 265,2098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,2098) = 1

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

GCF(265,2098) x common factors =1 x 1 = 1

LCM(265,2098) = ( 265 × 2098 ) / 1

LCM(265,2098) = 555970 / 1

LCM(265,2098) = 555970


Lets's calculate GCF of 689,5629

13 689, 5629
53, 433

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 555970/13

Therefore the LCM of Fractions 265/689,2098/5629 is 555970/13

Greatest Common Factor of 689,5629 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,5629 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 5629

List of positive integer factors of 5629 that divides 5629 without a remainder.

1,13,433,5629

Greatest Common Factor

We found the factors 689,5629 . The biggest common factor number is the GCF number.
So the greatest common factor 689,5629 is 13.


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 265/689, 2098/5629

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 265/689, 2098/5629?

Answer: LCM of Numerators as per given numbers 265/689, 2098/5629 is

LCM of Numerators i.e. for 265,2098 is 555970

GCF of denominators i.e. for 689,5629 is 13.

Thus, LCM of Fractions is 555970/13.Finally, LCM of Fractions for 265/689, 2098/5629 is 555970/13.