Least Common Multiple of 686/238, 1785/9511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/238, 1785/9511 quickly i.e. 174930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/238, 1785/9511 is 174930.

LCM(686/238, 1785/9511) = 174930

LCM of 686/238, 1785/9511

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 686/238,1785/9511

Given numbers are 686/238,1785/9511

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 686,1785

Least Common Multiple of Numerators i.e. LCM of 686,1785 is 174930.

GCF of Denominators means GCF of 238,9511 as per the given fractions.

GCF of 238,9511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,1785

LCM of Fractions 686/238,1785/9511 is 174930

7 686, 1785
98, 255

∴ So the LCM of the given numbers is 7 x 98 x 255 = 174930

Least Common Multiple of 686,1785 with GCF Formula

Least Common Multiple of 686,1785 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 686,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,1785) = 7

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

GCF(686,1785) x common factors =7 x 1 = 7

LCM(686,1785) = ( 686 × 1785 ) / 7

LCM(686,1785) = 1224510 / 7

LCM(686,1785) = 174930


Lets's calculate GCF of 238,9511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174930/1

Therefore the LCM of Fractions 686/238,1785/9511 is 174930

Greatest Common Factor of 238,9511 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,9511 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 9511

List of positive integer factors of 9511 that divides 9511 without a remainder.

1,9511

Greatest Common Factor

We found the factors 238,9511 . The biggest common factor number is the GCF number.
So the greatest common factor 238,9511 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 686/238, 1785/9511

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 686/238, 1785/9511?

Answer: LCM of Numerators as per given numbers 686/238, 1785/9511 is

LCM of Numerators i.e. for 686,1785 is 174930

GCF of denominators i.e. for 238,9511 is 1.

Thus, LCM of Fractions is 174930.Finally, LCM of Fractions for 686/238, 1785/9511 is 174930.