Least Common Multiple of 380/27, 676/5821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/27, 676/5821 quickly i.e. 64220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/27, 676/5821 is 64220.

LCM(380/27, 676/5821) = 64220

LCM of 380/27, 676/5821

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 380/27,676/5821

Given numbers are 380/27,676/5821

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 380,676

Least Common Multiple of Numerators i.e. LCM of 380,676 is 64220.

GCF of Denominators means GCF of 27,5821 as per the given fractions.

GCF of 27,5821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,676

LCM of Fractions 380/27,676/5821 is 64220

2 380, 676
2 190, 338
95, 169

∴ So the LCM of the given numbers is 2 x 2 x 95 x 169 = 64220

Least Common Multiple of 380,676 with GCF Formula

Least Common Multiple of 380,676 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 380,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,676) = 4

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

GCF(380,676) x common factors =4 x 1 = 4

LCM(380,676) = ( 380 × 676 ) / 4

LCM(380,676) = 256880 / 4

LCM(380,676) = 64220


Lets's calculate GCF of 27,5821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64220/1

Therefore the LCM of Fractions 380/27,676/5821 is 64220

Greatest Common Factor of 27,5821 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,5821 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1,5821

Greatest Common Factor

We found the factors 27,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 27,5821 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 380/27, 676/5821

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 380/27, 676/5821?

Answer: LCM of Numerators as per given numbers 380/27, 676/5821 is

LCM of Numerators i.e. for 380,676 is 64220

GCF of denominators i.e. for 27,5821 is 1.

Thus, LCM of Fractions is 64220.Finally, LCM of Fractions for 380/27, 676/5821 is 64220.