Least Common Multiple of 560/97, 274/83, 946/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 560/97, 274/83, 946/99 quickly i.e. 36288560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/97, 274/83, 946/99 is 36288560.

LCM(560/97, 274/83, 946/99) = 36288560

LCM of 560/97, 274/83, 946/99

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 560/97,274/83,946/99

Given numbers are 560/97,274/83,946/99

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 560,274,946

Least Common Multiple of Numerators i.e. LCM of 560,274,946 is 36288560.

GCF of Denominators means GCF of 97,83,99 as per the given fractions.

GCF of 97,83,99 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,274,946

LCM of Fractions 560/97,274/83,946/99 is 36288560

2 560, 274, 946
280, 137, 473

∴ So the LCM of the given numbers is 2 x 280 x 137 x 473 = 36288560

Least Common Multiple of 560,274,946 with GCF Formula

Least Common Multiple of 560,274,946 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 560,274,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,274,946) = 2

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

GCF(560,274,946) x common factors =2 x 2 = 4

LCM(560,274,946) = ( 560 × 274 × 946 ) / 4

LCM(560,274,946) = 145154240 / 4

LCM(560,274,946) = 36288560


Lets's calculate GCF of 97,83,99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36288560/1

Therefore the LCM of Fractions 560/97,274/83,946/99 is 36288560

Greatest Common Factor of 97,83,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,83,99 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 97,83,99 . The biggest common factor number is the GCF number.
So the greatest common factor 97,83,99 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 560/97, 274/83, 946/99

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 560/97, 274/83, 946/99?

Answer: LCM of Numerators as per given numbers 560/97, 274/83, 946/99 is

LCM of Numerators i.e. for 560,274,946 is 36288560

GCF of denominators i.e. for 97,83,99 is 1.

Thus, LCM of Fractions is 36288560.Finally, LCM of Fractions for 560/97, 274/83, 946/99 is 36288560.