Least Common Multiple of 783/396, 468/870, 798/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/396, 468/870, 798/378 quickly i.e. 902538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/396, 468/870, 798/378 is 902538.

LCM(783/396, 468/870, 798/378) = 902538

LCM of 783/396, 468/870, 798/378

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 783/396,468/870,798/378

Given numbers are 783/396,468/870,798/378

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 783,468,798

Least Common Multiple of Numerators i.e. LCM of 783,468,798 is 5415228.

GCF of Denominators means GCF of 396,870,378 as per the given fractions.

GCF of 396,870,378 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,468,798

LCM of Fractions 783/396,468/870,798/378 is 902538

2 783, 468, 798
3 783, 234, 399
3 261, 78, 133
87, 26, 133

∴ So the LCM of the given numbers is 2 x 3 x 3 x 87 x 26 x 133 = 5415228

Least Common Multiple of 783,468,798 with GCF Formula

Least Common Multiple of 783,468,798 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 783,468,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,468,798) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(783,468,798) x common factors =3 x 18 = 54

LCM(783,468,798) = ( 783 × 468 × 798 ) / 54

LCM(783,468,798) = 292422312 / 54

LCM(783,468,798) = 5415228


Lets's calculate GCF of 396,870,378

2 396, 870, 378
3 198, 435, 189
66, 145, 63

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5415228/6

Therefore the LCM of Fractions 783/396,468/870,798/378 is 902538

Greatest Common Factor of 396,870,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,870,378 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 396,870,378 . The biggest common factor number is the GCF number.
So the greatest common factor 396,870,378 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 783/396, 468/870, 798/378

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 783/396, 468/870, 798/378?

Answer: LCM of Numerators as per given numbers 783/396, 468/870, 798/378 is

LCM of Numerators i.e. for 783,468,798 is 5415228

GCF of denominators i.e. for 396,870,378 is 6.

Thus, LCM of Fractions is 902538.Finally, LCM of Fractions for 783/396, 468/870, 798/378 is 902538.