Least Common Multiple of 380/32, 413/1277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 380/32, 413/1277 quickly i.e. 156940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/32, 413/1277 is 156940.

LCM(380/32, 413/1277) = 156940

LCM of 380/32, 413/1277

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 380/32,413/1277

Given numbers are 380/32,413/1277

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 380,413

Least Common Multiple of Numerators i.e. LCM of 380,413 is 156940.

GCF of Denominators means GCF of 32,1277 as per the given fractions.

GCF of 32,1277 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,413

LCM of Fractions 380/32,413/1277 is 156940

Given numbers has no common factors except 1. So, there LCM is their product i.e 156940

Least Common Multiple of 380,413 with GCF Formula

Least Common Multiple of 380,413 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 380,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,413) = 1

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

GCF(380,413) x common factors =1 x 1 = 1

LCM(380,413) = ( 380 × 413 ) / 1

LCM(380,413) = 156940 / 1

LCM(380,413) = 156940


Lets's calculate GCF of 32,1277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156940/1

Therefore the LCM of Fractions 380/32,413/1277 is 156940

Greatest Common Factor of 32,1277 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,1277 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 1277

List of positive integer factors of 1277 that divides 1277 without a remainder.

1,1277

Greatest Common Factor

We found the factors 32,1277 . The biggest common factor number is the GCF number.
So the greatest common factor 32,1277 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 380/32, 413/1277

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 380/32, 413/1277?

Answer: LCM of Numerators as per given numbers 380/32, 413/1277 is

LCM of Numerators i.e. for 380,413 is 156940

GCF of denominators i.e. for 32,1277 is 1.

Thus, LCM of Fractions is 156940.Finally, LCM of Fractions for 380/32, 413/1277 is 156940.