Least Common Multiple of 404/904, 355/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 404/904, 355/126 quickly i.e. 71710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/904, 355/126 is 71710.

LCM(404/904, 355/126) = 71710

LCM of 404/904, 355/126

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 404/904,355/126

Given numbers are 404/904,355/126

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 404,355

Least Common Multiple of Numerators i.e. LCM of 404,355 is 143420.

GCF of Denominators means GCF of 904,126 as per the given fractions.

GCF of 904,126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,355

LCM of Fractions 404/904,355/126 is 71710

Given numbers has no common factors except 1. So, there LCM is their product i.e 143420

Least Common Multiple of 404,355 with GCF Formula

Least Common Multiple of 404,355 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 404,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,355) = 1

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

GCF(404,355) x common factors =1 x 1 = 1

LCM(404,355) = ( 404 × 355 ) / 1

LCM(404,355) = 143420 / 1

LCM(404,355) = 143420


Lets's calculate GCF of 904,126

2 904, 126
452, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143420/2

Therefore the LCM of Fractions 404/904,355/126 is 71710

Greatest Common Factor of 904,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,126 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 904,126 . The biggest common factor number is the GCF number.
So the greatest common factor 904,126 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 404/904, 355/126

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 404/904, 355/126?

Answer: LCM of Numerators as per given numbers 404/904, 355/126 is

LCM of Numerators i.e. for 404,355 is 143420

GCF of denominators i.e. for 904,126 is 2.

Thus, LCM of Fractions is 71710.Finally, LCM of Fractions for 404/904, 355/126 is 71710.