Least Common Multiple of 41/456, 561/344, 892/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/456, 561/344, 892/488 quickly i.e. 20516892/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/456, 561/344, 892/488 is 20516892/8.

LCM(41/456, 561/344, 892/488) = 20516892/8

LCM of 41/456, 561/344, 892/488

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 41/456,561/344,892/488

Given numbers are 41/456,561/344,892/488

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 41,561,892

Least Common Multiple of Numerators i.e. LCM of 41,561,892 is 20516892.

GCF of Denominators means GCF of 456,344,488 as per the given fractions.

GCF of 456,344,488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,561,892

LCM of Fractions 41/456,561/344,892/488 is 20516892/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 20516892

Least Common Multiple of 41,561,892 with GCF Formula

Least Common Multiple of 41,561,892 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 41,561,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,561,892) = 1

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

GCF(41,561,892) x common factors =1 x 1 = 1

LCM(41,561,892) = ( 41 × 561 × 892 ) / 1

LCM(41,561,892) = 20516892 / 1

LCM(41,561,892) = 20516892


Lets's calculate GCF of 456,344,488

2 456, 344, 488
2 228, 172, 244
2 114, 86, 122
57, 43, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20516892/8

Therefore the LCM of Fractions 41/456,561/344,892/488 is 20516892/8

Greatest Common Factor of 456,344,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,344,488 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 456,344,488 . The biggest common factor number is the GCF number.
So the greatest common factor 456,344,488 is 8.


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 41/456, 561/344, 892/488

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 41/456, 561/344, 892/488?

Answer: LCM of Numerators as per given numbers 41/456, 561/344, 892/488 is

LCM of Numerators i.e. for 41,561,892 is 20516892

GCF of denominators i.e. for 456,344,488 is 8.

Thus, LCM of Fractions is 20516892/8.Finally, LCM of Fractions for 41/456, 561/344, 892/488 is 20516892/8.