Least Common Multiple of 665/85, 410/7220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 665/85, 410/7220 quickly i.e. 10906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/85, 410/7220 is 10906.

LCM(665/85, 410/7220) = 10906

LCM of 665/85, 410/7220

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 665/85,410/7220

Given numbers are 665/85,410/7220

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 665,410

Least Common Multiple of Numerators i.e. LCM of 665,410 is 54530.

GCF of Denominators means GCF of 85,7220 as per the given fractions.

GCF of 85,7220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,410

LCM of Fractions 665/85,410/7220 is 10906

5 665, 410
133, 82

∴ So the LCM of the given numbers is 5 x 133 x 82 = 54530

Least Common Multiple of 665,410 with GCF Formula

Least Common Multiple of 665,410 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 665,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,410) = 5

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

GCF(665,410) x common factors =5 x 1 = 5

LCM(665,410) = ( 665 × 410 ) / 5

LCM(665,410) = 272650 / 5

LCM(665,410) = 54530


Lets's calculate GCF of 85,7220

5 85, 7220
17, 1444

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54530/5

Therefore the LCM of Fractions 665/85,410/7220 is 10906

Greatest Common Factor of 85,7220 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7220 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 7220

List of positive integer factors of 7220 that divides 7220 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220

Greatest Common Factor

We found the factors 85,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7220 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 665/85, 410/7220

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 665/85, 410/7220?

Answer: LCM of Numerators as per given numbers 665/85, 410/7220 is

LCM of Numerators i.e. for 665,410 is 54530

GCF of denominators i.e. for 85,7220 is 5.

Thus, LCM of Fractions is 10906.Finally, LCM of Fractions for 665/85, 410/7220 is 10906.