Least Common Multiple of 41/142, 22/624, 503/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/142, 22/624, 503/488 quickly i.e. 226853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/142, 22/624, 503/488 is 226853.

LCM(41/142, 22/624, 503/488) = 226853

LCM of 41/142, 22/624, 503/488

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 41/142,22/624,503/488

Given numbers are 41/142,22/624,503/488

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 41,22,503

Least Common Multiple of Numerators i.e. LCM of 41,22,503 is 453706.

GCF of Denominators means GCF of 142,624,488 as per the given fractions.

GCF of 142,624,488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,22,503

LCM of Fractions 41/142,22/624,503/488 is 226853

Given numbers has no common factors except 1. So, there LCM is their product i.e 453706

Least Common Multiple of 41,22,503 with GCF Formula

Least Common Multiple of 41,22,503 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 41,22,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,22,503) = 1

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

GCF(41,22,503) x common factors =1 x 1 = 1

LCM(41,22,503) = ( 41 × 22 × 503 ) / 1

LCM(41,22,503) = 453706 / 1

LCM(41,22,503) = 453706


Lets's calculate GCF of 142,624,488

2 142, 624, 488
71, 312, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453706/2

Therefore the LCM of Fractions 41/142,22/624,503/488 is 226853

Greatest Common Factor of 142,624,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,624,488 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

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 142,624,488 . The biggest common factor number is the GCF number.
So the greatest common factor 142,624,488 is 2.


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 41/142, 22/624, 503/488

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 41/142, 22/624, 503/488?

Answer: LCM of Numerators as per given numbers 41/142, 22/624, 503/488 is

LCM of Numerators i.e. for 41,22,503 is 453706

GCF of denominators i.e. for 142,624,488 is 2.

Thus, LCM of Fractions is 226853.Finally, LCM of Fractions for 41/142, 22/624, 503/488 is 226853.