Least Common Multiple of 435/467, 505/336, 956/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/467, 505/336, 956/149 quickly i.e. 42001860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/467, 505/336, 956/149 is 42001860.

LCM(435/467, 505/336, 956/149) = 42001860

LCM of 435/467, 505/336, 956/149

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 435/467,505/336,956/149

Given numbers are 435/467,505/336,956/149

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 435,505,956

Least Common Multiple of Numerators i.e. LCM of 435,505,956 is 42001860.

GCF of Denominators means GCF of 467,336,149 as per the given fractions.

GCF of 467,336,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,505,956

LCM of Fractions 435/467,505/336,956/149 is 42001860

5 435, 505, 956
87, 101, 956

∴ So the LCM of the given numbers is 5 x 87 x 101 x 956 = 42001860

Least Common Multiple of 435,505,956 with GCF Formula

Least Common Multiple of 435,505,956 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 435,505,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,505,956) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(435,505,956) x common factors =1 x 5 = 5

LCM(435,505,956) = ( 435 × 505 × 956 ) / 5

LCM(435,505,956) = 210009300 / 5

LCM(435,505,956) = 42001860


Lets's calculate GCF of 467,336,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42001860/1

Therefore the LCM of Fractions 435/467,505/336,956/149 is 42001860

Greatest Common Factor of 467,336,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,336,149 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 467,336,149 . The biggest common factor number is the GCF number.
So the greatest common factor 467,336,149 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 435/467, 505/336, 956/149

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 435/467, 505/336, 956/149?

Answer: LCM of Numerators as per given numbers 435/467, 505/336, 956/149 is

LCM of Numerators i.e. for 435,505,956 is 42001860

GCF of denominators i.e. for 467,336,149 is 1.

Thus, LCM of Fractions is 42001860.Finally, LCM of Fractions for 435/467, 505/336, 956/149 is 42001860.