Least Common Multiple of 594/97, 280/69, 307/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 594/97, 280/69, 307/302 quickly i.e. 25530120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/97, 280/69, 307/302 is 25530120.

LCM(594/97, 280/69, 307/302) = 25530120

LCM of 594/97, 280/69, 307/302

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 594/97,280/69,307/302

Given numbers are 594/97,280/69,307/302

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 594,280,307

Least Common Multiple of Numerators i.e. LCM of 594,280,307 is 25530120.

GCF of Denominators means GCF of 97,69,302 as per the given fractions.

GCF of 97,69,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,280,307

LCM of Fractions 594/97,280/69,307/302 is 25530120

2 594, 280, 307
297, 140, 307

∴ So the LCM of the given numbers is 2 x 297 x 140 x 307 = 25530120

Least Common Multiple of 594,280,307 with GCF Formula

Least Common Multiple of 594,280,307 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 594,280,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,280,307) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(594,280,307) x common factors =1 x 2 = 2

LCM(594,280,307) = ( 594 × 280 × 307 ) / 2

LCM(594,280,307) = 51060240 / 2

LCM(594,280,307) = 25530120


Lets's calculate GCF of 97,69,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25530120/1

Therefore the LCM of Fractions 594/97,280/69,307/302 is 25530120

Greatest Common Factor of 97,69,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,69,302 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 97,69,302 . The biggest common factor number is the GCF number.
So the greatest common factor 97,69,302 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 594/97, 280/69, 307/302

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 594/97, 280/69, 307/302?

Answer: LCM of Numerators as per given numbers 594/97, 280/69, 307/302 is

LCM of Numerators i.e. for 594,280,307 is 25530120

GCF of denominators i.e. for 97,69,302 is 1.

Thus, LCM of Fractions is 25530120.Finally, LCM of Fractions for 594/97, 280/69, 307/302 is 25530120.