Least Common Multiple of 603/20, 688/86, 204/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 603/20, 688/86, 204/708 quickly i.e. 3526344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/20, 688/86, 204/708 is 3526344.

LCM(603/20, 688/86, 204/708) = 3526344

LCM of 603/20, 688/86, 204/708

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 603/20,688/86,204/708

Given numbers are 603/20,688/86,204/708

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 603,688,204

Least Common Multiple of Numerators i.e. LCM of 603,688,204 is 7052688.

GCF of Denominators means GCF of 20,86,708 as per the given fractions.

GCF of 20,86,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,688,204

LCM of Fractions 603/20,688/86,204/708 is 3526344

2 603, 688, 204
2 603, 344, 102
3 603, 172, 51
201, 172, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 201 x 172 x 17 = 7052688

Least Common Multiple of 603,688,204 with GCF Formula

Least Common Multiple of 603,688,204 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 603,688,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,688,204) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(603,688,204) x common factors =1 x 12 = 12

LCM(603,688,204) = ( 603 × 688 × 204 ) / 12

LCM(603,688,204) = 84632256 / 12

LCM(603,688,204) = 7052688


Lets's calculate GCF of 20,86,708

2 20, 86, 708
10, 43, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7052688/2

Therefore the LCM of Fractions 603/20,688/86,204/708 is 3526344

Greatest Common Factor of 20,86,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,86,708 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 20,86,708 . The biggest common factor number is the GCF number.
So the greatest common factor 20,86,708 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 603/20, 688/86, 204/708

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 603/20, 688/86, 204/708?

Answer: LCM of Numerators as per given numbers 603/20, 688/86, 204/708 is

LCM of Numerators i.e. for 603,688,204 is 7052688

GCF of denominators i.e. for 20,86,708 is 2.

Thus, LCM of Fractions is 3526344.Finally, LCM of Fractions for 603/20, 688/86, 204/708 is 3526344.