Least Common Multiple of 38/411, 220/979, 671/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/411, 220/979, 671/328 quickly i.e. 254980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/411, 220/979, 671/328 is 254980.

LCM(38/411, 220/979, 671/328) = 254980

LCM of 38/411, 220/979, 671/328

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 38/411,220/979,671/328

Given numbers are 38/411,220/979,671/328

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 38,220,671

Least Common Multiple of Numerators i.e. LCM of 38,220,671 is 254980.

GCF of Denominators means GCF of 411,979,328 as per the given fractions.

GCF of 411,979,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,220,671

LCM of Fractions 38/411,220/979,671/328 is 254980

2 38, 220, 671
11 19, 110, 671
19, 10, 61

∴ So the LCM of the given numbers is 2 x 11 x 19 x 10 x 61 = 254980

Least Common Multiple of 38,220,671 with GCF Formula

Least Common Multiple of 38,220,671 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 38,220,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,220,671) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(38,220,671) x common factors =1 x 22 = 22

LCM(38,220,671) = ( 38 × 220 × 671 ) / 22

LCM(38,220,671) = 5609560 / 22

LCM(38,220,671) = 254980


Lets's calculate GCF of 411,979,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254980/1

Therefore the LCM of Fractions 38/411,220/979,671/328 is 254980

Greatest Common Factor of 411,979,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,979,328 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 411,979,328 . The biggest common factor number is the GCF number.
So the greatest common factor 411,979,328 is 1.


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 38/411, 220/979, 671/328

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 38/411, 220/979, 671/328?

Answer: LCM of Numerators as per given numbers 38/411, 220/979, 671/328 is

LCM of Numerators i.e. for 38,220,671 is 254980

GCF of denominators i.e. for 411,979,328 is 1.

Thus, LCM of Fractions is 254980.Finally, LCM of Fractions for 38/411, 220/979, 671/328 is 254980.