Least Common Multiple of 41/42, 490/73, 149/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/42, 490/73, 149/849 quickly i.e. 2993410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/42, 490/73, 149/849 is 2993410.

LCM(41/42, 490/73, 149/849) = 2993410

LCM of 41/42, 490/73, 149/849

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 41/42,490/73,149/849

Given numbers are 41/42,490/73,149/849

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 41,490,149

Least Common Multiple of Numerators i.e. LCM of 41,490,149 is 2993410.

GCF of Denominators means GCF of 42,73,849 as per the given fractions.

GCF of 42,73,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,490,149

LCM of Fractions 41/42,490/73,149/849 is 2993410

Given numbers has no common factors except 1. So, there LCM is their product i.e 2993410

Least Common Multiple of 41,490,149 with GCF Formula

Least Common Multiple of 41,490,149 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 41,490,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,490,149) = 1

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

GCF(41,490,149) x common factors =1 x 1 = 1

LCM(41,490,149) = ( 41 × 490 × 149 ) / 1

LCM(41,490,149) = 2993410 / 1

LCM(41,490,149) = 2993410


Lets's calculate GCF of 42,73,849

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2993410/1

Therefore the LCM of Fractions 41/42,490/73,149/849 is 2993410

Greatest Common Factor of 42,73,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,73,849 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 42,73,849 . The biggest common factor number is the GCF number.
So the greatest common factor 42,73,849 is 1.


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 41/42, 490/73, 149/849

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 41/42, 490/73, 149/849?

Answer: LCM of Numerators as per given numbers 41/42, 490/73, 149/849 is

LCM of Numerators i.e. for 41,490,149 is 2993410

GCF of denominators i.e. for 42,73,849 is 1.

Thus, LCM of Fractions is 2993410.Finally, LCM of Fractions for 41/42, 490/73, 149/849 is 2993410.