Least Common Multiple of 541/890, 4001/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 541/890, 4001/920 quickly i.e. 2164541/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 541/890, 4001/920 is 2164541/10.

LCM(541/890, 4001/920) = 2164541/10

LCM of 541/890, 4001/920

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 541/890,4001/920

Given numbers are 541/890,4001/920

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 541,4001

Least Common Multiple of Numerators i.e. LCM of 541,4001 is 2164541.

GCF of Denominators means GCF of 890,920 as per the given fractions.

GCF of 890,920 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 541,4001

LCM of Fractions 541/890,4001/920 is 2164541/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 2164541

Least Common Multiple of 541,4001 with GCF Formula

Least Common Multiple of 541,4001 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 541,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,4001) = 1

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

GCF(541,4001) x common factors =1 x 1 = 1

LCM(541,4001) = ( 541 × 4001 ) / 1

LCM(541,4001) = 2164541 / 1

LCM(541,4001) = 2164541


Lets's calculate GCF of 890,920

2 890, 920
5 445, 460
89, 92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2164541/10

Therefore the LCM of Fractions 541/890,4001/920 is 2164541/10

Greatest Common Factor of 890,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,920 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 890,920 . The biggest common factor number is the GCF number.
So the greatest common factor 890,920 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 541/890, 4001/920

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 541/890, 4001/920?

Answer: LCM of Numerators as per given numbers 541/890, 4001/920 is

LCM of Numerators i.e. for 541,4001 is 2164541

GCF of denominators i.e. for 890,920 is 10.

Thus, LCM of Fractions is 2164541/10.Finally, LCM of Fractions for 541/890, 4001/920 is 2164541/10.