Least Common Multiple of 67/685, 41/890, 411/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/685, 41/890, 411/659 quickly i.e. 1129017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/685, 41/890, 411/659 is 1129017.

LCM(67/685, 41/890, 411/659) = 1129017

LCM of 67/685, 41/890, 411/659

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 67/685,41/890,411/659

Given numbers are 67/685,41/890,411/659

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 67,41,411

Least Common Multiple of Numerators i.e. LCM of 67,41,411 is 1129017.

GCF of Denominators means GCF of 685,890,659 as per the given fractions.

GCF of 685,890,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,41,411

LCM of Fractions 67/685,41/890,411/659 is 1129017

Given numbers has no common factors except 1. So, there LCM is their product i.e 1129017

Least Common Multiple of 67,41,411 with GCF Formula

Least Common Multiple of 67,41,411 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 67,41,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,41,411) = 1

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

GCF(67,41,411) x common factors =1 x 1 = 1

LCM(67,41,411) = ( 67 × 41 × 411 ) / 1

LCM(67,41,411) = 1129017 / 1

LCM(67,41,411) = 1129017


Lets's calculate GCF of 685,890,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1129017/1

Therefore the LCM of Fractions 67/685,41/890,411/659 is 1129017

Greatest Common Factor of 685,890,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,890,659 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 685,890,659 . The biggest common factor number is the GCF number.
So the greatest common factor 685,890,659 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/685, 41/890, 411/659

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 67/685, 41/890, 411/659?

Answer: LCM of Numerators as per given numbers 67/685, 41/890, 411/659 is

LCM of Numerators i.e. for 67,41,411 is 1129017

GCF of denominators i.e. for 685,890,659 is 1.

Thus, LCM of Fractions is 1129017.Finally, LCM of Fractions for 67/685, 41/890, 411/659 is 1129017.