Least Common Multiple of 4455/380, 3676/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4455/380, 3676/270 quickly i.e. 1637658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4455/380, 3676/270 is 1637658.

LCM(4455/380, 3676/270) = 1637658

LCM of 4455/380, 3676/270

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 4455/380,3676/270

Given numbers are 4455/380,3676/270

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 4455,3676

Least Common Multiple of Numerators i.e. LCM of 4455,3676 is 16376580.

GCF of Denominators means GCF of 380,270 as per the given fractions.

GCF of 380,270 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4455,3676

LCM of Fractions 4455/380,3676/270 is 1637658

Given numbers has no common factors except 1. So, there LCM is their product i.e 16376580

Least Common Multiple of 4455,3676 with GCF Formula

Least Common Multiple of 4455,3676 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 4455,3676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4455,3676) = 1

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

GCF(4455,3676) x common factors =1 x 1 = 1

LCM(4455,3676) = ( 4455 × 3676 ) / 1

LCM(4455,3676) = 16376580 / 1

LCM(4455,3676) = 16376580


Lets's calculate GCF of 380,270

2 380, 270
5 190, 135
38, 27

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16376580/10

Therefore the LCM of Fractions 4455/380,3676/270 is 1637658

Greatest Common Factor of 380,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,270 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 380,270 . The biggest common factor number is the GCF number.
So the greatest common factor 380,270 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4455/380, 3676/270

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 4455/380, 3676/270?

Answer: LCM of Numerators as per given numbers 4455/380, 3676/270 is

LCM of Numerators i.e. for 4455,3676 is 16376580

GCF of denominators i.e. for 380,270 is 10.

Thus, LCM of Fractions is 1637658.Finally, LCM of Fractions for 4455/380, 3676/270 is 1637658.