Least Common Multiple of 682/231, 1738/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 682/231, 1738/210 quickly i.e. 53878/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/231, 1738/210 is 53878/21.

LCM(682/231, 1738/210) = 53878/21

LCM of 682/231, 1738/210

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 682/231,1738/210

Given numbers are 682/231,1738/210

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 682,1738

Least Common Multiple of Numerators i.e. LCM of 682,1738 is 53878.

GCF of Denominators means GCF of 231,210 as per the given fractions.

GCF of 231,210 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,1738

LCM of Fractions 682/231,1738/210 is 53878/21

2 682, 1738
11 341, 869
31, 79

∴ So the LCM of the given numbers is 2 x 11 x 31 x 79 = 53878

Least Common Multiple of 682,1738 with GCF Formula

Least Common Multiple of 682,1738 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 682,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,1738) = 22

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

GCF(682,1738) x common factors =22 x 1 = 22

LCM(682,1738) = ( 682 × 1738 ) / 22

LCM(682,1738) = 1185316 / 22

LCM(682,1738) = 53878


Lets's calculate GCF of 231,210

3 231, 210
7 77, 70
11, 10

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53878/21

Therefore the LCM of Fractions 682/231,1738/210 is 53878/21

Greatest Common Factor of 231,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,210 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 231,210 . The biggest common factor number is the GCF number.
So the greatest common factor 231,210 is 21.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 682/231, 1738/210

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 682/231, 1738/210?

Answer: LCM of Numerators as per given numbers 682/231, 1738/210 is

LCM of Numerators i.e. for 682,1738 is 53878

GCF of denominators i.e. for 231,210 is 21.

Thus, LCM of Fractions is 53878/21.Finally, LCM of Fractions for 682/231, 1738/210 is 53878/21.