Least Common Multiple of 30/97, 240/87, 848/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 30/97, 240/87, 848/667 quickly i.e. 12720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/97, 240/87, 848/667 is 12720.

LCM(30/97, 240/87, 848/667) = 12720

LCM of 30/97, 240/87, 848/667

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 30/97,240/87,848/667

Given numbers are 30/97,240/87,848/667

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 30,240,848

Least Common Multiple of Numerators i.e. LCM of 30,240,848 is 12720.

GCF of Denominators means GCF of 97,87,667 as per the given fractions.

GCF of 97,87,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,240,848

LCM of Fractions 30/97,240/87,848/667 is 12720

2 30, 240, 848
2 15, 120, 424
2 15, 60, 212
2 15, 30, 106
3 15, 15, 53
5 5, 5, 53
1, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 1 x 53 = 12720

Least Common Multiple of 30,240,848 with GCF Formula

Least Common Multiple of 30,240,848 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 30,240,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,240,848) = 2

common factors(in case of two or more numbers have common factors) = 240

GCF(30,240,848) x common factors =2 x 240 = 480

LCM(30,240,848) = ( 30 × 240 × 848 ) / 480

LCM(30,240,848) = 6105600 / 480

LCM(30,240,848) = 12720


Lets's calculate GCF of 97,87,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12720/1

Therefore the LCM of Fractions 30/97,240/87,848/667 is 12720

Greatest Common Factor of 97,87,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,87,667 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 667

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

1,23,29,667

Greatest Common Factor

We found the factors 97,87,667 . The biggest common factor number is the GCF number.
So the greatest common factor 97,87,667 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 30/97, 240/87, 848/667

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 30/97, 240/87, 848/667?

Answer: LCM of Numerators as per given numbers 30/97, 240/87, 848/667 is

LCM of Numerators i.e. for 30,240,848 is 12720

GCF of denominators i.e. for 97,87,667 is 1.

Thus, LCM of Fractions is 12720.Finally, LCM of Fractions for 30/97, 240/87, 848/667 is 12720.