Least Common Multiple of 3720/608, 4086/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3720/608, 4086/608 quickly i.e. 2533320/608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3720/608, 4086/608 is 2533320/608.

LCM(3720/608, 4086/608) = 2533320/608

LCM of 3720/608, 4086/608

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 3720/608,4086/608

Given numbers are 3720/608,4086/608

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 3720,4086

Least Common Multiple of Numerators i.e. LCM of 3720,4086 is 2533320.

GCF of Denominators means GCF of 608,608 as per the given fractions.

GCF of 608,608 is 608 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3720,4086

LCM of Fractions 3720/608,4086/608 is 2533320/608

2 3720, 4086
3 1860, 2043
620, 681

∴ So the LCM of the given numbers is 2 x 3 x 620 x 681 = 2533320

Least Common Multiple of 3720,4086 with GCF Formula

Least Common Multiple of 3720,4086 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 3720,4086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3720,4086) = 6

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

GCF(3720,4086) x common factors =6 x 1 = 6

LCM(3720,4086) = ( 3720 × 4086 ) / 6

LCM(3720,4086) = 15199920 / 6

LCM(3720,4086) = 2533320


Lets's calculate GCF of 608,608

2 608, 608
2 304, 304
2 152, 152
2 76, 76
2 38, 38
19 19, 19
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 19 = 608

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533320/608

Therefore the LCM of Fractions 3720/608,4086/608 is 2533320/608

Greatest Common Factor of 608,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,608 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 608,608 . The biggest common factor number is the GCF number.
So the greatest common factor 608,608 is 608.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3720/608, 4086/608

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 3720/608, 4086/608?

Answer: LCM of Numerators as per given numbers 3720/608, 4086/608 is

LCM of Numerators i.e. for 3720,4086 is 2533320

GCF of denominators i.e. for 608,608 is 608.

Thus, LCM of Fractions is 2533320/608.Finally, LCM of Fractions for 3720/608, 4086/608 is 2533320/608.