Least Common Multiple of 673/586, 307/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 673/586, 307/840 quickly i.e. 206611/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 673/586, 307/840 is 206611/2.

LCM(673/586, 307/840) = 206611/2

LCM of 673/586, 307/840

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 673/586,307/840

Given numbers are 673/586,307/840

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 673,307

Least Common Multiple of Numerators i.e. LCM of 673,307 is 206611.

GCF of Denominators means GCF of 586,840 as per the given fractions.

GCF of 586,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 673,307

LCM of Fractions 673/586,307/840 is 206611/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 206611

Least Common Multiple of 673,307 with GCF Formula

Least Common Multiple of 673,307 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 673,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,307) = 1

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

GCF(673,307) x common factors =1 x 1 = 1

LCM(673,307) = ( 673 × 307 ) / 1

LCM(673,307) = 206611 / 1

LCM(673,307) = 206611


Lets's calculate GCF of 586,840

2 586, 840
293, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206611/2

Therefore the LCM of Fractions 673/586,307/840 is 206611/2

Greatest Common Factor of 586,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,840 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 586,840 . The biggest common factor number is the GCF number.
So the greatest common factor 586,840 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 673/586, 307/840

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 673/586, 307/840?

Answer: LCM of Numerators as per given numbers 673/586, 307/840 is

LCM of Numerators i.e. for 673,307 is 206611

GCF of denominators i.e. for 586,840 is 2.

Thus, LCM of Fractions is 206611/2.Finally, LCM of Fractions for 673/586, 307/840 is 206611/2.