Least Common Multiple of 380/146, 116/596, 613/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/146, 116/596, 613/638 quickly i.e. 3377630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/146, 116/596, 613/638 is 3377630.

LCM(380/146, 116/596, 613/638) = 3377630

LCM of 380/146, 116/596, 613/638

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 380/146,116/596,613/638

Given numbers are 380/146,116/596,613/638

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 380,116,613

Least Common Multiple of Numerators i.e. LCM of 380,116,613 is 6755260.

GCF of Denominators means GCF of 146,596,638 as per the given fractions.

GCF of 146,596,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,116,613

LCM of Fractions 380/146,116/596,613/638 is 3377630

2 380, 116, 613
2 190, 58, 613
95, 29, 613

∴ So the LCM of the given numbers is 2 x 2 x 95 x 29 x 613 = 6755260

Least Common Multiple of 380,116,613 with GCF Formula

Least Common Multiple of 380,116,613 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 380,116,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,116,613) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(380,116,613) x common factors =1 x 4 = 4

LCM(380,116,613) = ( 380 × 116 × 613 ) / 4

LCM(380,116,613) = 27021040 / 4

LCM(380,116,613) = 6755260


Lets's calculate GCF of 146,596,638

2 146, 596, 638
73, 298, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6755260/2

Therefore the LCM of Fractions 380/146,116/596,613/638 is 3377630

Greatest Common Factor of 146,596,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,596,638 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 146,596,638 . The biggest common factor number is the GCF number.
So the greatest common factor 146,596,638 is 2.


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 380/146, 116/596, 613/638

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 380/146, 116/596, 613/638?

Answer: LCM of Numerators as per given numbers 380/146, 116/596, 613/638 is

LCM of Numerators i.e. for 380,116,613 is 6755260

GCF of denominators i.e. for 146,596,638 is 2.

Thus, LCM of Fractions is 3377630.Finally, LCM of Fractions for 380/146, 116/596, 613/638 is 3377630.