Least Common Multiple of 73/650, 686/614, 801/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/650, 686/614, 801/490 quickly i.e. 20056239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/650, 686/614, 801/490 is 20056239.

LCM(73/650, 686/614, 801/490) = 20056239

LCM of 73/650, 686/614, 801/490

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 73/650,686/614,801/490

Given numbers are 73/650,686/614,801/490

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 73,686,801

Least Common Multiple of Numerators i.e. LCM of 73,686,801 is 40112478.

GCF of Denominators means GCF of 650,614,490 as per the given fractions.

GCF of 650,614,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,686,801

LCM of Fractions 73/650,686/614,801/490 is 20056239

Given numbers has no common factors except 1. So, there LCM is their product i.e 40112478

Least Common Multiple of 73,686,801 with GCF Formula

Least Common Multiple of 73,686,801 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 73,686,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,686,801) = 1

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

GCF(73,686,801) x common factors =1 x 1 = 1

LCM(73,686,801) = ( 73 × 686 × 801 ) / 1

LCM(73,686,801) = 40112478 / 1

LCM(73,686,801) = 40112478


Lets's calculate GCF of 650,614,490

2 650, 614, 490
325, 307, 245

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40112478/2

Therefore the LCM of Fractions 73/650,686/614,801/490 is 20056239

Greatest Common Factor of 650,614,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,614,490 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 650,614,490 . The biggest common factor number is the GCF number.
So the greatest common factor 650,614,490 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 73/650, 686/614, 801/490

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 73/650, 686/614, 801/490?

Answer: LCM of Numerators as per given numbers 73/650, 686/614, 801/490 is

LCM of Numerators i.e. for 73,686,801 is 40112478

GCF of denominators i.e. for 650,614,490 is 2.

Thus, LCM of Fractions is 20056239.Finally, LCM of Fractions for 73/650, 686/614, 801/490 is 20056239.