Least Common Multiple of 613/22, 773/34, 258/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/22, 773/34, 258/18 quickly i.e. 61126521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/22, 773/34, 258/18 is 61126521.

LCM(613/22, 773/34, 258/18) = 61126521

LCM of 613/22, 773/34, 258/18

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 613/22,773/34,258/18

Given numbers are 613/22,773/34,258/18

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 613,773,258

Least Common Multiple of Numerators i.e. LCM of 613,773,258 is 122253042.

GCF of Denominators means GCF of 22,34,18 as per the given fractions.

GCF of 22,34,18 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,773,258

LCM of Fractions 613/22,773/34,258/18 is 61126521

Given numbers has no common factors except 1. So, there LCM is their product i.e 122253042

Least Common Multiple of 613,773,258 with GCF Formula

Least Common Multiple of 613,773,258 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 613,773,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,773,258) = 1

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

GCF(613,773,258) x common factors =1 x 1 = 1

LCM(613,773,258) = ( 613 × 773 × 258 ) / 1

LCM(613,773,258) = 122253042 / 1

LCM(613,773,258) = 122253042


Lets's calculate GCF of 22,34,18

2 22, 34, 18
11, 17, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122253042/2

Therefore the LCM of Fractions 613/22,773/34,258/18 is 61126521

Greatest Common Factor of 22,34,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,34,18 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 34

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

1,2,17,34

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 22,34,18 . The biggest common factor number is the GCF number.
So the greatest common factor 22,34,18 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 613/22, 773/34, 258/18

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 613/22, 773/34, 258/18?

Answer: LCM of Numerators as per given numbers 613/22, 773/34, 258/18 is

LCM of Numerators i.e. for 613,773,258 is 122253042

GCF of denominators i.e. for 22,34,18 is 2.

Thus, LCM of Fractions is 61126521.Finally, LCM of Fractions for 613/22, 773/34, 258/18 is 61126521.