Least Common Multiple of 423/133, 335/899, 670/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/133, 335/899, 670/312 quickly i.e. 283410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/133, 335/899, 670/312 is 283410.

LCM(423/133, 335/899, 670/312) = 283410

LCM of 423/133, 335/899, 670/312

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 423/133,335/899,670/312

Given numbers are 423/133,335/899,670/312

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 423,335,670

Least Common Multiple of Numerators i.e. LCM of 423,335,670 is 283410.

GCF of Denominators means GCF of 133,899,312 as per the given fractions.

GCF of 133,899,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,335,670

LCM of Fractions 423/133,335/899,670/312 is 283410

5 423, 335, 670
67 423, 67, 134
423, 1, 2

∴ So the LCM of the given numbers is 5 x 67 x 423 x 1 x 2 = 283410

Least Common Multiple of 423,335,670 with GCF Formula

Least Common Multiple of 423,335,670 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 423,335,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,335,670) = 1

common factors(in case of two or more numbers have common factors) = 335

GCF(423,335,670) x common factors =1 x 335 = 335

LCM(423,335,670) = ( 423 × 335 × 670 ) / 335

LCM(423,335,670) = 94942350 / 335

LCM(423,335,670) = 283410


Lets's calculate GCF of 133,899,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283410/1

Therefore the LCM of Fractions 423/133,335/899,670/312 is 283410

Greatest Common Factor of 133,899,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,899,312 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

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

Greatest Common Factor

We found the factors 133,899,312 . The biggest common factor number is the GCF number.
So the greatest common factor 133,899,312 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 423/133, 335/899, 670/312

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 423/133, 335/899, 670/312?

Answer: LCM of Numerators as per given numbers 423/133, 335/899, 670/312 is

LCM of Numerators i.e. for 423,335,670 is 283410

GCF of denominators i.e. for 133,899,312 is 1.

Thus, LCM of Fractions is 283410.Finally, LCM of Fractions for 423/133, 335/899, 670/312 is 283410.