Least Common Multiple of 95/267, 12/667, 984/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/267, 12/667, 984/279 quickly i.e. 93480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/267, 12/667, 984/279 is 93480.

LCM(95/267, 12/667, 984/279) = 93480

LCM of 95/267, 12/667, 984/279

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 95/267,12/667,984/279

Given numbers are 95/267,12/667,984/279

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 95,12,984

Least Common Multiple of Numerators i.e. LCM of 95,12,984 is 93480.

GCF of Denominators means GCF of 267,667,279 as per the given fractions.

GCF of 267,667,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,12,984

LCM of Fractions 95/267,12/667,984/279 is 93480

2 95, 12, 984
2 95, 6, 492
3 95, 3, 246
95, 1, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 95 x 1 x 82 = 93480

Least Common Multiple of 95,12,984 with GCF Formula

Least Common Multiple of 95,12,984 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 95,12,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,12,984) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(95,12,984) x common factors =1 x 12 = 12

LCM(95,12,984) = ( 95 × 12 × 984 ) / 12

LCM(95,12,984) = 1121760 / 12

LCM(95,12,984) = 93480


Lets's calculate GCF of 267,667,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93480/1

Therefore the LCM of Fractions 95/267,12/667,984/279 is 93480

Greatest Common Factor of 267,667,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,667,279 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 267,667,279 . The biggest common factor number is the GCF number.
So the greatest common factor 267,667,279 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/267, 12/667, 984/279

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 95/267, 12/667, 984/279?

Answer: LCM of Numerators as per given numbers 95/267, 12/667, 984/279 is

LCM of Numerators i.e. for 95,12,984 is 93480

GCF of denominators i.e. for 267,667,279 is 1.

Thus, LCM of Fractions is 93480.Finally, LCM of Fractions for 95/267, 12/667, 984/279 is 93480.