Least Common Multiple of 389/40, 688/10, 798/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 389/40, 688/10, 798/610 quickly i.e. 106785168/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/40, 688/10, 798/610 is 106785168/10.

LCM(389/40, 688/10, 798/610) = 106785168/10

LCM of 389/40, 688/10, 798/610

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 389/40,688/10,798/610

Given numbers are 389/40,688/10,798/610

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 389,688,798

Least Common Multiple of Numerators i.e. LCM of 389,688,798 is 106785168.

GCF of Denominators means GCF of 40,10,610 as per the given fractions.

GCF of 40,10,610 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,688,798

LCM of Fractions 389/40,688/10,798/610 is 106785168/10

2 389, 688, 798
389, 344, 399

∴ So the LCM of the given numbers is 2 x 389 x 344 x 399 = 106785168

Least Common Multiple of 389,688,798 with GCF Formula

Least Common Multiple of 389,688,798 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 389,688,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,688,798) = 1

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

GCF(389,688,798) x common factors =1 x 2 = 2

LCM(389,688,798) = ( 389 × 688 × 798 ) / 2

LCM(389,688,798) = 213570336 / 2

LCM(389,688,798) = 106785168


Lets's calculate GCF of 40,10,610

2 40, 10, 610
5 20, 5, 305
4, 1, 61

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106785168/10

Therefore the LCM of Fractions 389/40,688/10,798/610 is 106785168/10

Greatest Common Factor of 40,10,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,10,610 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 40,10,610 . The biggest common factor number is the GCF number.
So the greatest common factor 40,10,610 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 389/40, 688/10, 798/610

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 389/40, 688/10, 798/610?

Answer: LCM of Numerators as per given numbers 389/40, 688/10, 798/610 is

LCM of Numerators i.e. for 389,688,798 is 106785168

GCF of denominators i.e. for 40,10,610 is 10.

Thus, LCM of Fractions is 106785168/10.Finally, LCM of Fractions for 389/40, 688/10, 798/610 is 106785168/10.