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Least Common Multiple of 242/35, 320/73, 664/46

Know Least Common Multiple of fractions 242/35, 320/73, 664/46 quickly i.e. 3213760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/35, 320/73, 664/46 is 3213760.

LCM(242/35, 320/73, 664/46) = 3213760

LCM of 242/35, 320/73, 664/46

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 242/35,320/73,664/46

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 242,320,664

Least Common Multiple of Numerators i.e. LCM of 242,320,664 is 3213760.

GCF of Denominators means GCF of 35,73,46 as per the given fractions.

GCF of 35,73,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,320,664

Least Common Multiple (LCM) of 242,320,664 By Common Division

2 242, 320, 664
2 121, 160, 332
2 121, 80, 166
121, 40, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 40 x 83 = 3213760

Least Common Multiple of 242,320,664 with GCF Formula

Least Common Multiple of 242,320,664 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 242,320,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,320,664) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(242,320,664) x common factors =2 x 8 = 16

LCM(242,320,664) = ( 242 × 320 × 664 ) / 16

LCM(242,320,664) = 51420160 / 16

LCM(242,320,664) = 3213760


Lets's calculate GCF of 35,73,46

Greatest Common Factor (GCF) of 35,73,46 By Common Division

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3213760/1

Therefore the LCM of Fractions 242/35,320/73,664/46 is 3213760

Greatest Common Factor of 35,73,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,73,46 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 35,73,46 . The biggest common factor number is the GCF number.
So the greatest common factor 35,73,46 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 242/35, 320/73, 664/46

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 242/35, 320/73, 664/46?

Answer: LCM of Numerators as per given numbers 242/35, 320/73, 664/46 is

LCM of Numerators i.e. for 242,320,664 is 3213760

GCF of denominators i.e. for 35,73,46 is 1.

Thus, LCM of Fractions is 3213760.Finally, LCM of Fractions for 242/35, 320/73, 664/46 is 3213760.