Least Common Multiple of 82/16, 40/35, 63/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/16, 40/35, 63/668 quickly i.e. 103320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/16, 40/35, 63/668 is 103320.

LCM(82/16, 40/35, 63/668) = 103320

LCM of 82/16, 40/35, 63/668

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 82/16,40/35,63/668

Given numbers are 82/16,40/35,63/668

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 82,40,63

Least Common Multiple of Numerators i.e. LCM of 82,40,63 is 103320.

GCF of Denominators means GCF of 16,35,668 as per the given fractions.

GCF of 16,35,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,40,63

LCM of Fractions 82/16,40/35,63/668 is 103320

2 82, 40, 63
41, 20, 63

∴ So the LCM of the given numbers is 2 x 41 x 20 x 63 = 103320

Least Common Multiple of 82,40,63 with GCF Formula

Least Common Multiple of 82,40,63 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 82,40,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,63) = 1

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

GCF(82,40,63) x common factors =1 x 2 = 2

LCM(82,40,63) = ( 82 × 40 × 63 ) / 2

LCM(82,40,63) = 206640 / 2

LCM(82,40,63) = 103320


Lets's calculate GCF of 16,35,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103320/1

Therefore the LCM of Fractions 82/16,40/35,63/668 is 103320

Greatest Common Factor of 16,35,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,35,668 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 35

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

1,5,7,35

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 16,35,668 . The biggest common factor number is the GCF number.
So the greatest common factor 16,35,668 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/16, 40/35, 63/668

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 82/16, 40/35, 63/668?

Answer: LCM of Numerators as per given numbers 82/16, 40/35, 63/668 is

LCM of Numerators i.e. for 82,40,63 is 103320

GCF of denominators i.e. for 16,35,668 is 1.

Thus, LCM of Fractions is 103320.Finally, LCM of Fractions for 82/16, 40/35, 63/668 is 103320.