Least Common Multiple of 686/95, 393/39, 821/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 686/95, 393/39, 821/556 quickly i.e. 221339958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/95, 393/39, 821/556 is 221339958.

LCM(686/95, 393/39, 821/556) = 221339958

LCM of 686/95, 393/39, 821/556

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 686/95,393/39,821/556

Given numbers are 686/95,393/39,821/556

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 686,393,821

Least Common Multiple of Numerators i.e. LCM of 686,393,821 is 221339958.

GCF of Denominators means GCF of 95,39,556 as per the given fractions.

GCF of 95,39,556 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,393,821

LCM of Fractions 686/95,393/39,821/556 is 221339958

Given numbers has no common factors except 1. So, there LCM is their product i.e 221339958

Least Common Multiple of 686,393,821 with GCF Formula

Least Common Multiple of 686,393,821 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 686,393,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,393,821) = 1

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

GCF(686,393,821) x common factors =1 x 1 = 1

LCM(686,393,821) = ( 686 × 393 × 821 ) / 1

LCM(686,393,821) = 221339958 / 1

LCM(686,393,821) = 221339958


Lets's calculate GCF of 95,39,556

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221339958/1

Therefore the LCM of Fractions 686/95,393/39,821/556 is 221339958

Greatest Common Factor of 95,39,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,39,556 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 95,39,556 . The biggest common factor number is the GCF number.
So the greatest common factor 95,39,556 is 1.


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Frequently Asked Questions on Fractional LCM of 686/95, 393/39, 821/556

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 686/95, 393/39, 821/556?

Answer: LCM of Numerators as per given numbers 686/95, 393/39, 821/556 is

LCM of Numerators i.e. for 686,393,821 is 221339958

GCF of denominators i.e. for 95,39,556 is 1.

Thus, LCM of Fractions is 221339958.Finally, LCM of Fractions for 686/95, 393/39, 821/556 is 221339958.