Least Common Multiple of 258/874, 813/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/874, 813/690 quickly i.e. 69918/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/874, 813/690 is 69918/46.

LCM(258/874, 813/690) = 69918/46

LCM of 258/874, 813/690

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 258/874,813/690

Given numbers are 258/874,813/690

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 258,813

Least Common Multiple of Numerators i.e. LCM of 258,813 is 69918.

GCF of Denominators means GCF of 874,690 as per the given fractions.

GCF of 874,690 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,813

LCM of Fractions 258/874,813/690 is 69918/46

3 258, 813
86, 271

∴ So the LCM of the given numbers is 3 x 86 x 271 = 69918

Least Common Multiple of 258,813 with GCF Formula

Least Common Multiple of 258,813 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 258,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,813) = 3

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

GCF(258,813) x common factors =3 x 1 = 3

LCM(258,813) = ( 258 × 813 ) / 3

LCM(258,813) = 209754 / 3

LCM(258,813) = 69918


Lets's calculate GCF of 874,690

2 874, 690
23 437, 345
19, 15

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69918/46

Therefore the LCM of Fractions 258/874,813/690 is 69918/46

Greatest Common Factor of 874,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,690 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 874,690 . The biggest common factor number is the GCF number.
So the greatest common factor 874,690 is 46.


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 258/874, 813/690

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 258/874, 813/690?

Answer: LCM of Numerators as per given numbers 258/874, 813/690 is

LCM of Numerators i.e. for 258,813 is 69918

GCF of denominators i.e. for 874,690 is 46.

Thus, LCM of Fractions is 69918/46.Finally, LCM of Fractions for 258/874, 813/690 is 69918/46.