Least Common Multiple of 1645/188, 3811/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1645/188, 3811/220 quickly i.e. 6269095/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1645/188, 3811/220 is 6269095/4.

LCM(1645/188, 3811/220) = 6269095/4

LCM of 1645/188, 3811/220

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 1645/188,3811/220

Given numbers are 1645/188,3811/220

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 1645,3811

Least Common Multiple of Numerators i.e. LCM of 1645,3811 is 6269095.

GCF of Denominators means GCF of 188,220 as per the given fractions.

GCF of 188,220 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1645,3811

LCM of Fractions 1645/188,3811/220 is 6269095/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 6269095

Least Common Multiple of 1645,3811 with GCF Formula

Least Common Multiple of 1645,3811 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 1645,3811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1645,3811) = 1

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

GCF(1645,3811) x common factors =1 x 1 = 1

LCM(1645,3811) = ( 1645 × 3811 ) / 1

LCM(1645,3811) = 6269095 / 1

LCM(1645,3811) = 6269095


Lets's calculate GCF of 188,220

2 188, 220
2 94, 110
47, 55

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6269095/4

Therefore the LCM of Fractions 1645/188,3811/220 is 6269095/4

Greatest Common Factor of 188,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,220 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 188,220 . The biggest common factor number is the GCF number.
So the greatest common factor 188,220 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1645/188, 3811/220

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 1645/188, 3811/220?

Answer: LCM of Numerators as per given numbers 1645/188, 3811/220 is

LCM of Numerators i.e. for 1645,3811 is 6269095

GCF of denominators i.e. for 188,220 is 4.

Thus, LCM of Fractions is 6269095/4.Finally, LCM of Fractions for 1645/188, 3811/220 is 6269095/4.