Least Common Multiple of 67/547, 49/982, 136/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 67/547, 49/982, 136/366 quickly i.e. 446488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/547, 49/982, 136/366 is 446488.

LCM(67/547, 49/982, 136/366) = 446488

LCM of 67/547, 49/982, 136/366

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 67/547,49/982,136/366

Given numbers are 67/547,49/982,136/366

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 67,49,136

Least Common Multiple of Numerators i.e. LCM of 67,49,136 is 446488.

GCF of Denominators means GCF of 547,982,366 as per the given fractions.

GCF of 547,982,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,49,136

LCM of Fractions 67/547,49/982,136/366 is 446488

Given numbers has no common factors except 1. So, there LCM is their product i.e 446488

Least Common Multiple of 67,49,136 with GCF Formula

Least Common Multiple of 67,49,136 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 67,49,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,49,136) = 1

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

GCF(67,49,136) x common factors =1 x 1 = 1

LCM(67,49,136) = ( 67 × 49 × 136 ) / 1

LCM(67,49,136) = 446488 / 1

LCM(67,49,136) = 446488


Lets's calculate GCF of 547,982,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 446488/1

Therefore the LCM of Fractions 67/547,49/982,136/366 is 446488

Greatest Common Factor of 547,982,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,982,366 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 547,982,366 . The biggest common factor number is the GCF number.
So the greatest common factor 547,982,366 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 67/547, 49/982, 136/366

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 67/547, 49/982, 136/366?

Answer: LCM of Numerators as per given numbers 67/547, 49/982, 136/366 is

LCM of Numerators i.e. for 67,49,136 is 446488

GCF of denominators i.e. for 547,982,366 is 1.

Thus, LCM of Fractions is 446488.Finally, LCM of Fractions for 67/547, 49/982, 136/366 is 446488.