Least Common Multiple of 380/779, 454/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 380/779, 454/130 quickly i.e. 86260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/779, 454/130 is 86260.

LCM(380/779, 454/130) = 86260

LCM of 380/779, 454/130

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 380/779,454/130

Given numbers are 380/779,454/130

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 380,454

Least Common Multiple of Numerators i.e. LCM of 380,454 is 86260.

GCF of Denominators means GCF of 779,130 as per the given fractions.

GCF of 779,130 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,454

LCM of Fractions 380/779,454/130 is 86260

2 380, 454
190, 227

∴ So the LCM of the given numbers is 2 x 190 x 227 = 86260

Least Common Multiple of 380,454 with GCF Formula

Least Common Multiple of 380,454 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 380,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,454) = 2

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

GCF(380,454) x common factors =2 x 1 = 2

LCM(380,454) = ( 380 × 454 ) / 2

LCM(380,454) = 172520 / 2

LCM(380,454) = 86260


Lets's calculate GCF of 779,130

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86260/1

Therefore the LCM of Fractions 380/779,454/130 is 86260

Greatest Common Factor of 779,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,130 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 779,130 . The biggest common factor number is the GCF number.
So the greatest common factor 779,130 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 380/779, 454/130

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 380/779, 454/130?

Answer: LCM of Numerators as per given numbers 380/779, 454/130 is

LCM of Numerators i.e. for 380,454 is 86260

GCF of denominators i.e. for 779,130 is 1.

Thus, LCM of Fractions is 86260.Finally, LCM of Fractions for 380/779, 454/130 is 86260.