Least Common Multiple of 7/257, 30/361, 29/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/257, 30/361, 29/686 quickly i.e. 6090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/257, 30/361, 29/686 is 6090.

LCM(7/257, 30/361, 29/686) = 6090

LCM of 7/257, 30/361, 29/686

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 7/257,30/361,29/686

Given numbers are 7/257,30/361,29/686

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 7,30,29

Least Common Multiple of Numerators i.e. LCM of 7,30,29 is 6090.

GCF of Denominators means GCF of 257,361,686 as per the given fractions.

GCF of 257,361,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,30,29

LCM of Fractions 7/257,30/361,29/686 is 6090

Given numbers has no common factors except 1. So, there LCM is their product i.e 6090

Least Common Multiple of 7,30,29 with GCF Formula

Least Common Multiple of 7,30,29 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 7,30,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,30,29) = 1

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

GCF(7,30,29) x common factors =1 x 1 = 1

LCM(7,30,29) = ( 7 × 30 × 29 ) / 1

LCM(7,30,29) = 6090 / 1

LCM(7,30,29) = 6090


Lets's calculate GCF of 257,361,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6090/1

Therefore the LCM of Fractions 7/257,30/361,29/686 is 6090

Greatest Common Factor of 257,361,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,361,686 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 257,361,686 . The biggest common factor number is the GCF number.
So the greatest common factor 257,361,686 is 1.


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 7/257, 30/361, 29/686

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 7/257, 30/361, 29/686?

Answer: LCM of Numerators as per given numbers 7/257, 30/361, 29/686 is

LCM of Numerators i.e. for 7,30,29 is 6090

GCF of denominators i.e. for 257,361,686 is 1.

Thus, LCM of Fractions is 6090.Finally, LCM of Fractions for 7/257, 30/361, 29/686 is 6090.